Extremals For The Sobolev Inequality On The Seven Dimensional Quaternionic Heisenberg Group And The Quaternionic Contact Yamabe Problem
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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem
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Author : Stefan P Ivanov
language : en
Publisher: World Scientific
Release Date : 2011-03-08
Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem written by Stefan P Ivanov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-08 with Mathematics categories.
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.
Quaternionic Contact Einstein Structures And The Quaternionic Contact Yamabe Problem
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Author : A. L. Carey
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-08-12
Quaternionic Contact Einstein Structures And The Quaternionic Contact Yamabe Problem written by A. L. Carey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-12 with Mathematics categories.
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.
Extremals For The Sobolev Inequality On The Seven Dimensional Quaternionic Heisenberg Group And The Quaternionic Contact Yamabe Problem
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Author : Stefan Ivanov
language : en
Publisher:
Release Date : 2007
Extremals For The Sobolev Inequality On The Seven Dimensional Quaternionic Heisenberg Group And The Quaternionic Contact Yamabe Problem written by Stefan Ivanov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
Hokkaido Mathematical Journal
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Author :
language : en
Publisher:
Release Date : 2013
Hokkaido Mathematical Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
Cr Submanifolds Of Kaehlerian And Sasakian Manifolds
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Author : Kentaro Yano
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cr Submanifolds Of Kaehlerian And Sasakian Manifolds written by Kentaro Yano and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Finding Ellipses What Blaschke Products Poncelet S Theorem And The Numerical Range Know About Each Other
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Author : Ulrich Daepp
language : en
Publisher: American Mathematical Soc.
Release Date : 2018
Finding Ellipses What Blaschke Products Poncelet S Theorem And The Numerical Range Know About Each Other written by Ulrich Daepp and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.
Strong Rigidity Of Locally Symmetric Spaces
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Author : G. Daniel Mostow
language : en
Publisher: Princeton University Press
Release Date : 1973-12-21
Strong Rigidity Of Locally Symmetric Spaces written by G. Daniel Mostow and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-21 with Mathematics categories.
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.
Discrete Painlev Equations
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Author : Nalini Joshi
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-05-30
Discrete Painlev Equations written by Nalini Joshi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-30 with Mathematics categories.
Discrete Painlevé equations are nonlinear difference equations, which arise from translations on crystallographic lattices. The deceptive simplicity of this statement hides immensely rich mathematical properties, connecting dynamical systems, algebraic geometry, Coxeter groups, topology, special functions theory, and mathematical physics. This book necessarily starts with introductory material to give the reader an accessible entry point to this vast subject matter. It is based on lectures that the author presented as principal lecturer at a Conference Board of Mathematical Sciences and National Science Foundation conference in Texas in 2016. Instead of technical theorems or complete proofs, the book relies on providing essential points of many arguments through explicit examples, with the hope that they will be useful for applied mathematicians and physicists.
Sasakian Geometry
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Author : Charles Boyer
language : en
Publisher:
Release Date : 2008-01-24
Sasakian Geometry written by Charles Boyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-24 with Mathematics categories.
This book offers an extensive modern treatment of Sasakian geometry, which is of importance in many different fields in geometry and physics.
Model Theory Of Fields
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Author : David Marker
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Model Theory Of Fields written by David Marker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-02 with Mathematics categories.
This book introduces the active area of the model theory of fields, concentrating on connections to stability theory.