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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem 1st Edition Stefan P Ivanov

  • SKU: BELL-2439306
Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem 1st Edition Stefan P Ivanov
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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem 1st Edition Stefan P Ivanov instant download after payment.

Publisher: World Scientific Publishing Company
File Extension: PDF
File size: 1.29 MB
Pages: 238
Author: Stefan P. Ivanov, Dimiter N. Vassilev
ISBN: 9789814295703, 9814295701
Language: English
Year: 2011
Edition: 1

Product desciption

Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem 1st Edition Stefan P Ivanov by Stefan P. Ivanov, Dimiter N. Vassilev 9789814295703, 9814295701 instant download after payment.

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.

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