Current Developments In Differential Geometry And Its Related Fields

Author : Toshiaki Adachi
Publisher : World Scientific
Page : 256 pages
File Size : 41,9 Mb
Release : 2015-10-22
Category : Mathematics
ISBN : 9789814719780

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Current Developments in Differential Geometry and Its Related Fields - Proceedings of the 4th International Colloquium on Differential Geometry and Its Related Fields by Toshiaki Adachi Pdf

"This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014). These articles cover recent developments and are devoted mainly to the study of some geometric structures on manifolds and graphs. Readers will find a broad overview of differential geometry and its relationship to other fields in mathematics and physics."--

Author : Toshiaki Adachi,Hideya Hashimoto
Publisher : World Scientific
Page : 207 pages
File Size : 46,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814355469

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Recent Progress in Differential Geometry and Its Related Fields by Toshiaki Adachi,Hideya Hashimoto Pdf

This volume contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications. These contributions from active specialists in differential geometry provide significant information on research papers which cover geometric structures, concrete Lie group theory and information geometry. This volume is invaluable not only for researchers in this special area but also for those who are interested in interdisciplinary areas in differential geometry, complex analysis, probability theory and mathematical physics. It also serves as a good guide to graduate students in the field of differential geometry.

Author : Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov
Publisher : World Scientific
Page : 192 pages
File Size : 49,8 Mb
Release : 2017-09-25
Category : Mathematics
ISBN : 9789813220928

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Contemporary Perspectives In Differential Geometry And Its Related Fields - Proceedings Of The 5th International Colloquium On Differential Geometry And Its Related Fields by Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov Pdf

This volume contains original papers and announcements of recent results presented by the main participants of the 5th International Colloquium on Differential Geometry and its Related Fields (ICDG2016). These articles are devoted to some new developments on geometric structures on manifolds. Besides covering a broad overview on geometric structures, this volume provides significant information for researchers not only in the field of differential geometry but also in mathematical physics. Since each article is accompanied with detailed explanations, it serves as a good guide for young scientists working in this area.

Author : Toshiaki Adachi,Hideya Hashimoto
Publisher : World Scientific
Page : 257 pages
File Size : 54,5 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9789811248115

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New Horizons In Differential Geometry And Its Related Fields by Toshiaki Adachi,Hideya Hashimoto Pdf

This volume presents recent developments in geometric structures on Riemannian manifolds and their discretizations. With chapters written by recognized experts, these discussions focus on contact structures, Kähler structures, fiber bundle structures and Einstein metrics. It also contains works on the geometric approach on coding theory.For researchers and students, this volume forms an invaluable source to learn about these subjects that are not only in the field of differential geometry but also in other wide related areas. It promotes and deepens the study of geometric structures.

Author : Adachi Toshiaki,Hashimoto Hideya
Publisher : World Scientific
Page : 224 pages
File Size : 51,8 Mb
Release : 2019-10-15
Category : Mathematics
ISBN : 9789811206702

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Recent Topics In Differential Geometry And Its Related Fields - Proceedings Of The 6th International Colloquium On Differential Geometry And Its Related Fields by Adachi Toshiaki,Hashimoto Hideya Pdf

This volume contains papers by the main participants in the meeting of the 6th International Colloquium on Differential Geometry and its Related Fields (ICDG2018).The volume consists of papers devoted to the study of recent topics in geometric structures on manifolds — which are related to complex analysis, symmetric spaces and surface theory — and also in discrete mathematics.Thus, it presents a broad overview of differential geometry and provides up-to-date information to researchers and young scientists in this field, and also to those working in the wide spectrum of mathematics.

Author : Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov
Publisher : World Scientific
Page : 244 pages
File Size : 50,5 Mb
Release : 2013-09-24
Category : Mathematics
ISBN : 9789814541824

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Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields by Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov Pdf

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9789814467469

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Trends in Differential Geometry, Complex Analysis and Mathematical Physics by Anonim Pdf

Author : Toshiaki Adachi
Publisher : Unknown
Page : 193 pages
File Size : 50,9 Mb
Release : 2017
Category : Geometry, Differential
ISBN : 9813220910

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Contemporary Perspectives in Differential Geometry and Its Related Fields by Toshiaki Adachi Pdf

"This volume contains original papers and announcements of recent results presented by the main participants of the 5th International Colloquium on Differential Geometry and its Related Fields (ICDG2016). These articles are devoted to some new developments on geometric structures on manifolds. Besides covering a broad overview on geometric structures, this volume provides significant information for researchers not only in the field of differential geometry but also in mathematical physics. Since each article is accompanied with detailed explanations, it serves as a good guide for young scientists working in this area."--Publisher's website.

Author : Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.)
Publisher : Princeton University Press
Page : 720 pages
File Size : 49,8 Mb
Release : 1982-03-21
Category : Mathematics
ISBN : 9780691082967

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Seminar on Differential Geometry by Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.) Pdf

This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.

Author : Toshiaki Adachi,Hideya Hashimoto
Publisher : World Scientific
Page : 207 pages
File Size : 53,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814355476

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Recent Progress in Differential Geometry and Its Related Fields by Toshiaki Adachi,Hideya Hashimoto Pdf

Homogeneous Einstein metrics on generalized flag manifolds Sp(n)/(U(p) x U(q) x Sp(n - p - q)) / Andreas Arvanitoyeorgos, Ioannis Chrysikos and Yusuke Sakane -- On G2-invariants of curves in purely imaginary octonions / Misa Ohashi -- Magnetic Jacobi fields for Kahler magnetic fields / Toshiaki Adachi -- Geometry for q-exponential families / Hiroshi Matsuzoe and Atsumi Ohara -- Sasakian magnetic fields on homogeneous real hypersurfaces in a complex hyperbolic space / Tuya Bao -- TYZ expansions for some rotation invariant Kahler metrics / Todor Gramchev and Andrea Loi -- Kershner's tilings of type 6 by congruent pentagons are not Dirichlet / Atsushi Kubota and Toshiaki Adachi -- Eleven classes of almost paracontact manifolds with semi-Riemannian metric of (n + 1, n) / Galia Nakova and Simeon Zamkovoy -- Notes on geometry of q-normal distributions / Daiki Tanaya, Masaru Tanaka and Hiroshi Matsuzoe -- A remark on complex Lagrangian cones in H[symbol] / Norio Ejiri and Kazumi Tsukada -- Realizations of subgroups of G2, Spin(7) and their applications / Hideya Hashimoto and Misa Ohashi -- Bezier type almost complex structures on quaternionic Hermitian vector spaces / Milen J. Hristov

Author : Toshiaki Adachi,Hideya Hashimoto,Milen J. Hristov
Publisher : World Scientific Publishing Company Incorporated
Page : 228 pages
File Size : 49,8 Mb
Release : 2014
Category : Mathematics
ISBN : 981454180X

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Prospects of Differential Geometry and Its Related Fields by Toshiaki Adachi,Hideya Hashimoto,Milen J. Hristov Pdf

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent development in the fields of differential geometry, complex analysis, information geometry, mathematical physics and even coding theory. This volume provides significant information regarding recent progress in these fields that will be useful to researchers and a good guide for young scientists. It is also for those who wish to start investigating these topics and those who are interested in their interdisciplinary areas.

Author : J. Szenthe
Publisher : Springer Science & Business Media
Page : 542 pages
File Size : 41,5 Mb
Release : 1999
Category : Mathematics
ISBN : 0792353072

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New Developments in Differential Geometry, Budapest 1996 by J. Szenthe Pdf

The 36 lectures presented at the July 1996 conference all contain new developments in their respective subjects. Beyond the traditional differential geometry subjects, several popular ones such as Einstein manifolds and symplectic geometry are well represented. Subjects include almost Grassmann structures; harmonic maps between almost para-Hermitian manifolds; coeffective cohomology of quaternionic Kahler manifolds; time-dependent mechanical systems with non-linear constraints; the equation defining isothermic surfaces in Laguere geometry; optimal control problems on matrix Lie groups; and leaves of transversely affine foliations. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Author : Christian Bär,Joachim Lohkamp,Matthias Schwarz
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 46,7 Mb
Release : 2011-12-18
Category : Mathematics
ISBN : 9783642228421

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Global Differential Geometry by Christian Bär,Joachim Lohkamp,Matthias Schwarz Pdf

This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.

Author : Old?ich Kowalski,Olga Krupkova
Publisher : World Scientific
Page : 732 pages
File Size : 50,9 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812790606

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Differential Geometry and Its Applications by Old?ich Kowalski,Olga Krupkova Pdf

This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture ?Leonhard Euler ? 300 years on? by R Wilson. Notable contributors include J F Cari¤ena, M Castrill¢n L¢pez, J Erichhorn, J-H Eschenburg, I Kol ?, A P Kopylov, J Korba?, O Kowalski, B Kruglikov, D Krupka, O Krupkov , R L‚andre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Mu¤oz Masqu‚, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slov k, J Szilasi, L Tam ssy, P Walczak, and others.

Author : Maks A. Akivis,Vladislav V. Goldberg
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 49,8 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118030882

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Conformal Differential Geometry and Its Generalizations by Maks A. Akivis,Vladislav V. Goldberg Pdf

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry. It offers the first unified presentation of the subject, which was established more than a century ago. The text is divided into seven chapters, each containing figures, formulas, and historical and bibliographical notes, while numerous examples elucidate the necessary theory. Clear, focused, and expertly synthesized, Conformal Differential Geometry and Its Generalizations * Develops the theory of hypersurfaces and submanifolds of any dimension of conformal and pseudoconformal spaces. * Investigates conformal and pseudoconformal structures on a manifold of arbitrary dimension, derives their structure equations, and explores their tensor of conformal curvature. * Analyzes the real theory of four-dimensional conformal structures of all possible signatures. * Considers the analytic and differential geometry of Grassmann and almost Grassmann structures. * Draws connections between almost Grassmann structures and web theory. Conformal differential geometry, a part of classical differential geometry, was founded at the turn of the century and gave rise to the study of conformal and almost Grassmann structures in later years. Until now, no book has offered a systematic presentation of the multidimensional conformal differential geometry and the conformal and almost Grassmann structures. After years of intense research at their respective universities and at the Soviet School of Differential Geometry, Maks A. Akivis and Vladislav V. Goldberg have written this well-conceived, expertly executed volume to fill a void in the literature. Dr. Akivis and Dr. Goldberg supply a deep foundation, applications, numerous examples, and recent developments in the field. Many of the findings that fill these pages are published here for the first time, and previously published results are reexamined in a unified context. The geometry and theory of conformal and pseudoconformal spaces of arbitrary dimension, as well as the theory of Grassmann and almost Grassmann structures, are discussed and analyzed in detail. The topics covered not only advance the subject itself, but pose important questions for future investigations. This exhaustive, groundbreaking text combines the classical results and recent developments and findings. This volume is intended for graduate students and researchers of differential geometry. It can be especially useful to those students and researchers who are interested in conformal and Grassmann differential geometry and their applications to theoretical physics.