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Extremals for the Sobolev inequality and the quaternionic contact Yamabe problem / Stefan P. Ivanov, Dimiter N. Vassilev.
- Format:
- Book
- Author/Creator:
- Ivanov, Stefan P.
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Contact manifolds.
- Group theory.
- Physical Description:
- 1 online resource (238 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Singapore ; Hackensack, N.J. : World Scientific, c2011.
- Language Note:
- English
- Summary:
- 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 gene
- Contents:
- pt. 1. Analysis
- pt. 2. Geometry.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references and index.
- ISBN:
- 9786613234650
- 9781283234658
- 1283234653
- 9789814295710
- 981429571X
- OCLC:
- 748215446
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