Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem

Author:   Stefan P Ivanov (Univ Of Sofia ""St. Kliment Ohridski"", Bulgaria) ,  Dimiter N Vassilev (The Univ Of New Mexico, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814295703


Pages:   240
Publication Date:   08 March 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem


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Overview

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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Author:   Stefan P Ivanov (Univ Of Sofia ""St. Kliment Ohridski"", Bulgaria) ,  Dimiter N Vassilev (The Univ Of New Mexico, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 2.30cm , Length: 23.10cm
Weight:   0.567kg
ISBN:  

9789814295703


ISBN 10:   9814295701
Pages:   240
Publication Date:   08 March 2011
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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