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Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem

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Title: Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem
Description: 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.
Authors: Stefan P Ivanov, Dimiter N Vassilev
Resource Type: eBook.
Subjects: Group theory, Geometry, Differential, Contact manifolds
Categories: MATHEMATICS / Geometry / Differential, MATHEMATICS / Geometry / Analytic, SCIENCE / Physics / Mathematical & Computational
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 389628
RelevancyScore: 1038
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1037.72192382813
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  Data: Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem
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  Data: 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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  Data: <searchLink fieldCode="AR" term="%22Stefan+P+Ivanov%22">Stefan P Ivanov</searchLink><br /><searchLink fieldCode="AR" term="%22Dimiter+N+Vassilev%22">Dimiter N Vassilev</searchLink>
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  Data: <searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br /><searchLink fieldCode="DE" term="%22Geometry%2C+Differential%22">Geometry, Differential</searchLink><br /><searchLink fieldCode="DE" term="%22Contact+manifolds%22">Contact manifolds</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.36
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Group theory
        Type: general
      – SubjectFull: Geometry, Differential
        Type: general
      – SubjectFull: Contact manifolds
        Type: general
    Titles:
      – TitleFull: Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Stefan P Ivanov
      – PersonEntity:
          Name:
            NameFull: Dimiter N Vassilev
      – PersonEntity:
          Name:
            NameFull: Stefan P Ivanov
      – PersonEntity:
          Name:
            NameFull: Dimiter N Vassilev
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2011
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814295703
            – Type: isbn-electronic
              Value: 9789814295710
          Titles:
            – TitleFull: Extremals For The Sobolev Inequality And The Quaternionic Contact Yamabe Problem
              Type: main
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