Extremals For The Sobolev Inequality 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.
Modern Problems In Pdes And Applications
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Author : Marianna Chatzakou
language : en
Publisher: Springer Nature
Release Date : 2024-07-15
Modern Problems In Pdes And Applications written by Marianna Chatzakou and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-15 with Mathematics categories.
The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.
Nonlinear Problems With Lack Of Compactness
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Author : Giovanni Molica Bisci
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-02-08
Nonlinear Problems With Lack Of Compactness written by Giovanni Molica Bisci and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-08 with Mathematics categories.
This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.
Harmonic Analysis And Partial Differential Equations
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Author : Michael Ruzhansky
language : en
Publisher: Springer Nature
Release Date : 2023-03-06
Harmonic Analysis And Partial Differential Equations written by Michael Ruzhansky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Mathematics categories.
This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
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.
Advances In Harmonic Analysis And Partial Differential Equations
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Author : Vladimir Georgiev
language : en
Publisher: Springer Nature
Release Date : 2020-11-07
Advances In Harmonic Analysis And Partial Differential Equations written by Vladimir Georgiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-07 with Mathematics categories.
This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
An Introduction To Contact Topology
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Author : Hansjörg Geiges
language : en
Publisher:
Release Date : 2014-05-14
An Introduction To Contact Topology written by Hansjörg Geiges and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Mathematics categories.
The first comprehensive introduction to contact topology. Ideal for graduate courses on contact geometry, and as a reference for researchers.
Heat Kernels For Elliptic And Sub Elliptic Operators
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Author : Ovidiu Calin
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-10
Heat Kernels For Elliptic And Sub Elliptic Operators written by Ovidiu Calin 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 2010-10-10 with Mathematics categories.
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the distribution of heat on a given manifold as well as evolution phenomena and diffusion processes. Heat Kernels for Elliptic and Sub-elliptic Operators is an ideal reference for graduate students, researchers in pure and applied mathematics, and theoretical physicists interested in understanding different ways of approaching evolution operators.