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Author : J. Szenthe
Publisher : Springer Science & Business Media
Page : 513 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401152761
Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
Author : Toshiaki Adachi
Publisher : World Scientific
Page : 256 pages
File Size : 44,9 Mb
Release : 2015-10-22
Category : Mathematics
ISBN : 9789814719780
"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 : Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner
Publisher : Cambridge University Press
Page : 401 pages
File Size : 43,9 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9781108812818
From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.
Author : L. Tamássy,J. Szenthe
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 49,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400901490
Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary, July 26-30, 1994
Author : Shing-Tung Yau,Institute for Advanced Study (Princeton, N.J.)
Publisher : Princeton University Press
Page : 720 pages
File Size : 54,6 Mb
Release : 1982-03-21
Category : Mathematics
ISBN : 9780691082967
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 : L. Tamassy,J. Szenthe
Publisher : Unknown
Page : 448 pages
File Size : 40,6 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 940090150X
Author : Toshiaki Adachi,Hideya Hashimoto
Publisher : World Scientific
Page : 257 pages
File Size : 42,6 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9789811248115
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 : F Tricerri
Publisher : World Scientific
Page : 192 pages
File Size : 40,8 Mb
Release : 1990-11-20
Category : Electronic
ISBN : 9789814522144
The aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics. A broad range of themes is covered, including convex sets, Kaehler manifolds and moment map, combinatorial Morse theory and 3-manifolds, knot theory and statistical mechanics. Contents:Convex Sets and Kaehler Manifolds (M Gromov)Accessibilite En Geometrie Riemannienne Non-Holonome (T Hangan)Riemannian Manifolds with Homogeneous Geodesics (O Kowalski)Triangulations of Manifolds with Few Vertices (W Kühnel)Geometry and Symmetry (L Vanhecke)3-Manifolds and Orbifold Groups of Links (B Zimmermann)Knots, Braids, and Statistical Mechanics (V F R Jones) Readership: Pure mathematicians. keywords:Differential Geometry;Topology
Author : Christian Bär,Joachim Lohkamp,Matthias Schwarz
Publisher : Springer Science & Business Media
Page : 520 pages
File Size : 46,5 Mb
Release : 2011-12-18
Category : Mathematics
ISBN : 9783642228421
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 : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2024-07-03
Category : Electronic
ISBN : 9789814467469
Author : Lucas Bernard,François Roux
Publisher : Unknown
Page : 0 pages
File Size : 44,5 Mb
Release : 2010
Category : Geometry, Differential
ISBN : 1607410117
Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus to study problems in geometry. Graph theory is also a growing area in mathematical research. In mathematics and computer science, graph theory is the study of mathematical structures used to model pairwise relations between objects from a certain collection. This book presents various theories and applications in both of these mathematical fields. Included are the concepts of dominating sets, one of the most widely studied concepts in graph theory, some current developments of graph theory in the fields of planar linkage mechanisms and geared linkage mechanisms, lie algebras and the application of CR Hamiltonian flows to the deformation theory of CR structures.
Author : Maks A. Akivis,Vladislav V. Goldberg
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 53,7 Mb
Release : 2011-09-20
Category : Mathematics
ISBN : 9781118030882
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.
Author : Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov
Publisher : World Scientific
Page : 192 pages
File Size : 54,8 Mb
Release : 2017-09-25
Category : Mathematics
ISBN : 9789813220928
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 : Xianzhe Dai,Xiaochun Rong
Publisher : Springer Science & Business Media
Page : 364 pages
File Size : 51,7 Mb
Release : 2012-06-01
Category : Mathematics
ISBN : 9783034802574
Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang
Author : S S Chern,W H Chen,K S Lam
Publisher : World Scientific Publishing Company
Page : 368 pages
File Size : 50,9 Mb
Release : 1999-11-30
Category : Mathematics
ISBN : 9789813102989
This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.