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: Kähler-Einstein metrics and integral invariants
  name:
    name part: Futaki, Akito
    name part: 1954-
    role:
      role term: creator
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1988
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (iv, 139 pages)
  abstract: These notes present very recent results on compact Khler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Khler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Khler-Einstein metric and lifting to a group character. Other related topics such as extremal Khler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Khlerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.
  table of contents: Introduction -- Preliminaries -- Khler-Einstein Metrics and Extremal Khler Metrics -- The Character f and its Generalization to Khlerian Invariants -- The Character f as an Obstruction -- The Character f as a Classical Invariant -- Lifting f to a Group Character -- The Character f as a Moment Map -- Aubin's Approach and Related Results -- References -- Index.
  note: Akito Futaki.
  note: Electronic resource.
  note: Includes bibliographical references (pages [133]-139) and index.
  subject:
    topic: Complex manifolds
  subject:
    topic: Hermitian structures
  subject:
    topic: Kählerian structures
  subject:
    topic: Variétés complexes
  subject:
    topic: Structures hermitiennes
  subject:
    topic: Structures kählériennes
  subject:
    topic: Complex manifolds
  subject:
    topic: Hermitian structures
  subject:
    topic: Kählerian structures
  subject:
    topic: Riemann-vlakken
  subject:
    topic: Algebraïsche meetkunde
  subject:
    topic: Kähler-Einstein-Metrik
  subject:
    topic: Kompakte komplexe Mannigfaltigkeit
  classification: QA3 .L28 no. 1314
  classification: QA614
  classification: 510 s 516.3/62
  classification: 31.52
  related item:
    title info:
      title: Kähler-Einstein metrics and integral invariants
    name:
      name part: Futaki, Akito, 1954-
    origin info:
      publisher: Berlin ; New York : Springer-Verlag, ©1988
    identifier: (DLC) 88012337
    identifier: (OCoLC)17877868
  related item:
    title info:
      title: Lecture notes in mathematics (Springer-Verlag) ; 1314
  identifier: 9783540391722 (electronic bk.)
  identifier: 354039172X (electronic bk.)
  identifier: 9783540192503
  identifier: 3540192506
  identifier: 9780387192505
  identifier: 0387192506
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: SPLNM
    record creation date: 081231
    record change date: 20260422221000.7
    record identifier: in00003502478
    language of cataloging:
      language term: eng