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Recent Progress In Conformal Geometry

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Title: Recent Progress In Conformal Geometry
Description: This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.
Authors: Abbas Bahri, Yongzhong Xu
Resource Type: eBook.
Subjects: Conformal geometry
Categories: MATHEMATICS / Mathematical Analysis, MATHEMATICS / Geometry / Analytic
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 203917
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PubType: eBook
PubTypeId: ebook
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  Label: Title
  Group: Ti
  Data: Recent Progress In Conformal Geometry
– Name: Abstract
  Label: Description
  Group: Ab
  Data: This book presents a new front of research in conformal geometry, on sign-changing Yamabe-type problems and contact form geometry in particular. New ground is broken with the establishment of a Morse lemma at infinity for sign-changing Yamabe-type problems. This family of problems, thought to be out of reach a few years ago, becomes a family of problems which can be studied: the book lays the foundation for a program of research in this direction.In contact form geometry, a cousin of symplectic geometry, the authors prove a fundamental result of compactness in a variational problem on Legrendrian curves, which allows one to define a homology associated to a contact structure and a vector field of its kernel on a three-dimensional manifold. The homology is invariant under deformation of the contact form, and can be read on a sub-Morse complex of the Morse complex of the variational problem built with the periodic orbits of the Reeb vector-field. This book introduces, therefore, a practical tool in the field, and this homology becomes computable.
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  Data: <searchLink fieldCode="AR" term="%22Abbas+Bahri%22">Abbas Bahri</searchLink><br /><searchLink fieldCode="AR" term="%22Yongzhong+Xu%22">Yongzhong Xu</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Conformal+geometry%22">Conformal geometry</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 516.36
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Conformal geometry
        Type: general
    Titles:
      – TitleFull: Recent Progress In Conformal Geometry
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Abbas Bahri
      – PersonEntity:
          Name:
            NameFull: Yongzhong Xu
      – PersonEntity:
          Name:
            NameFull: Abbas Bahri
      – PersonEntity:
          Name:
            NameFull: Yongzhong Xu
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2007
            – D: 04
              M: 02
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9781860947728
            – Type: isbn-electronic
              Value: 9781860948602
          Numbering:
            – Type: volume
              Value: 00001
          Titles:
            – TitleFull: Recent Progress In Conformal Geometry
              Type: main
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