rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Gromov's Compactness Theorem for Pseudo-holomorphic Curves
  name:
    name part: Hummel, Christoph.
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: sz
    date issued: 1997
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (viii, 135 pages)
  abstract: Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces.
  note: by Christoph Hummel.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematics
  classification: QA1-939
  classification: 510
  related item:
    title info:
      title: Progress in Mathematics ; ; 151
  identifier: 9783034889520 (electronic bk.)
  identifier: 3034889526 (electronic bk.)
  identifier: 9783034898423
  identifier: 3034898428
  identifier: 3034889526
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 121227
    record change date: 20260422173651.2
    record identifier: in00003564581
    language of cataloging:
      language term: eng