Download Full eBooks in PDF
Quaternionic Contact Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Quaternionic Contact book. This book definitely worth reading, it is an incredibly well-written.
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814465557
Author : A. L. Carey,V. Gayral,A. Rennie,F. A. Sukochev
Publisher : American Mathematical Soc.
Page : 82 pages
File Size : 55,8 Mb
Release : 2014-08-12
Category : Mathematics
ISBN : 9780821898437
A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A "3-Hamiltonian form" of infinitesimal conformal automorphisms of quaternionic contact structures is presented.
Author : Stefano Marchiafava,Paolo Piccinni,Massimiliano Pontecorvo
Publisher : World Scientific
Page : 486 pages
File Size : 53,7 Mb
Release : 2001
Category : Mathematics
ISBN : 9789810246303
During the last five years, after the first meeting on ?Quaternionic Structures in Mathematics and Physics?, interest in quaternionic geometry and its applications has continued to increase. Progress has been made in constructing new classes of manifolds with quaternionic structures (quaternionic Khler, hyper-Khler, hyper-complex, etc.), studying the differential geometry of special classes of such manifolds and their submanifolds, understanding relations between the quaternionic structure and other differential-geometric structures, and also in physical applications of quaternionic geometry. Some generalizations of classical quaternion-like structures (like HKT structures and hyper-Khler manifolds with singularities) appeared naturally and were studied. Some of those results are published in this book.
Author : Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov
Publisher : World Scientific
Page : 256 pages
File Size : 52,5 Mb
Release : 2015-10-22
Category : Mathematics
ISBN : 9789814719797
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. Contents:PrefaceOrganizing and Scientific Advisory CommitteesPresentationsEinstein Metrics on the Symplectic Group Which are Not Naturally Reductive (Andreas Arvanitoyeorgos, Yusuke Sakane and Marina Statha)Laplacians for Finite Regular Kähler Graphs and for Their Dual Graphs (Toshiaki Adachi)S1-Invariant Einstein–Weyl Structure and Twistor Correspondence (Fuminori Nakata)A Family of Surfaces in E3 Given by an Over-Determined System (Naoya Ando)Some Remarks on Noncommutative Instantons (Nikolay A Ivanov)Almost CR Structure on the Twistor Space of a Quaternionic CR Manifold (Hiroyuki Kamada and Shin Nayatani)Five Dimensional Lie Groups Which are Almost Contact B-Metric Manifolds with Three Natural Connections (Miroslava Ivanova and Hristo Manev)On Hyperelliptic Minimal Surfaces with Even Genus (Norio Ejiri and Toshihiro Shoda)Laplacians of Kähler Graphs (Yaermaimaiti Tuerxunmaimaiti (Yarmamat Tursun))Hopf Fibration and Cartan Imbedding of Type AI (Hideya Hashimoto and Kazuhiro Suzuki)On Totally Umbilical and Screen Totally Umbilical Radical Transversal Lightlike Hypersurfaces of Kähler–Norden Manifolds (Galia Nakova)Complex Statistical Manifolds and Complex Affine Immersions (Hiroshi Matsuzoe)A Method of Determining the SO(7)-Invariants for Curves in Im O by Their G2-Invariants (Misa Ohashi)Magnetic Jacobi Fields for Surface Magnetic Fields (Qingsong Shi)A Geometric Study on Laplace Transformed Curves (Milen J Hristov)Vector-Valued Laplace Transformation Applied to Rational Bézier Curves (Milen J Hristov) Readership: Professionals, researchers and graduate students in differential geometry, complex analysis, probability theory and mathematical physics. Key Features:Consists of original papers and some announcements on recent developments in differential geometry and related fieldsNew understanding on geometric structures on manifolds and their discretized objectsA good guide for young scientists studying in this fieldKeywords:Einstein Metrics on Lie Groups;Einstein–Weyl Structures;Quaternionic CR Manifolds;Exceptional Geometry;Totally Geodesic Surfaces in Symmetric Spaces;Mathematical Physics;Lightlike Submanifolds;Complex Statistical Manifolds;New Treatment of Surfaces in a Euclidean 3-Space;Laplacians on Graphs
Author : Olivier Biquard
Publisher : American Mathematical Soc.
Page : 116 pages
File Size : 52,8 Mb
Release : 2006
Category : Mathematics
ISBN : 0821831666
The correspondence between Einstein metrics and their conformal boundaries has recently been the focus of great interest. This is particularly so in view of the relation with the physical theory of the AdS/CFT correspondence. In this book, this correspondence is seen in the wider context of asymptotically symmetric Einstein metrics, that is Einstein metrics whose curvature is asymptotic to that of a rank one symmetric space. There is an emphasis on the correspondence betweenEinstein metrics and geometric structures on their boundary at infinity: conformal structures, CR structures, and quaternionic contact structures introduced and studied in the book. Two new constructions of such Einstein metrics are given, using two different kinds of techniques: analytic methods toconstruct complete Einstein metrics, with a unified treatment of all rank one symmetric spaces, relying on harmonic analysis; algebraic methods (twistor theory) to construct local solutions of the Einstein equation near the boundary.
Author : Andreas Cap,Jan Slovák
Publisher : American Mathematical Soc.
Page : 643 pages
File Size : 53,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821826812
Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants.
Author : Stefan P. Ivanov,Ivan Minchev (Mathematics professor),Dimiter N. Vassilev
Publisher : Unknown
Page : 82 pages
File Size : 45,5 Mb
Release : 2014
Category : Contact manifolds
ISBN : 1470417227
"Volume 231, number 1086 (third of 5 numbers), September 2014."
Author : Anonim
Publisher : ScholarlyEditions
Page : 1326 pages
File Size : 54,6 Mb
Release : 2012-01-09
Category : Mathematics
ISBN : 9781464964923
Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Author : Sorin Dragomir,Giuseppe Tomassini
Publisher : Springer Science & Business Media
Page : 499 pages
File Size : 43,8 Mb
Release : 2007-06-10
Category : Mathematics
ISBN : 9780817644833
Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the first section of the book making it suitable as a graduate main course or seminar textbook Provides unproved statements and comments inspiring further study
Author : Anonim
Publisher : Unknown
Page : 500 pages
File Size : 51,6 Mb
Release : 2013
Category : Mathematics
ISBN : OSU:32435087103040
Author : Vasileios Chousionis,Jeremy T. Tyson,Mariusz Urbanski
Publisher : American Mathematical Soc.
Page : 153 pages
File Size : 47,5 Mb
Release : 2020-09-28
Category : Mathematics
ISBN : 9781470442156
The authors develop a comprehensive theory of conformal graph directed Markov systems in the non-Riemannian setting of Carnot groups equipped with a sub-Riemannian metric. In particular, they develop the thermodynamic formalism and show that, under natural hypotheses, the limit set of an Carnot conformal GDMS has Hausdorff dimension given by Bowen's parameter. They illustrate their results for a variety of examples of both linear and nonlinear iterated function systems and graph directed Markov systems in such sub-Riemannian spaces. These include the Heisenberg continued fractions introduced by Lukyanenko and Vandehey as well as Kleinian and Schottky groups associated to the non-real classical rank one hyperbolic spaces.
Author : Stefan P. Ivanov,Dimiter N. Vassilev
Publisher : World Scientific
Page : 238 pages
File Size : 55,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814295703
The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally flat case of the quaternionic Heisenberg group or sphere, where complete and detailed proofs are given, together with a chapter on the conformal curvature tensor introduced very recently by the authors. The starting point of the considered problems is the well-known Folland?Stein Sobolev type embedding and its sharp form that is determined based on geometric analysis. This book also sits at the interface of the generalization of these fundamental questions motivated by the Carnot?Caratheodory geometry of quaternionic contact manifolds, which have been recently the focus of extensive research motivated by problems in analysis, geometry, mathematical physics and the applied sciences. Through the beautiful resolution of the Yamabe problem on model quaternionic contact spaces, the book serves as an introduction to this field for graduate students and novice researchers, and as a research monograph suitable for experts as well.
Author : Toshiaki Adachi,Hideya Hashimoto,Milen J Hristov
Publisher : World Scientific
Page : 244 pages
File Size : 48,8 Mb
Release : 2013-09-24
Category : Mathematics
ISBN : 9789814541824
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 : Ameya Pitale,Abhishek Saha,Ralf Schmidt
Publisher : American Mathematical Soc.
Page : 107 pages
File Size : 48,7 Mb
Release : 2014-09-29
Category : Mathematics
ISBN : 9780821898567
Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and
Author : Raphaël Cerf
Publisher : American Mathematical Soc.
Page : 87 pages
File Size : 50,7 Mb
Release : 2014-12-20
Category : Mathematics
ISBN : 9781470409678
The goal of this work is to propose a finite population counterpart to Eigen's model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a population of size of chromosomes of length over an alphabet of cardinality . The mutation probability per locus is . He deals only with the sharp peak landscape: the replication rate is for the master sequence and for the other sequences. He studies the equilibrium distribution of the process in the regime where