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: Recent topics in differential and analytic geometry
  name:
    name part: Ochiai, Takushiro
    role:
      role term: editor.
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ja
    date issued: 1990
    copyright date: 1990
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (462 pages) : illustrations
  abstract: Recent Topics in Differential and Analytic Geometry.
  table of contents: Front Cover; Recent Topics in Differential and Analytic Geometry; Copyright Page; Foreword; Preface to the Present Volume; Table of Contents; CONTENTS OF VOLUME 18-II; Part I; Section A: Topics in Complex Differential Geometry; TABLE OF CONTENTS; Lecture I. Harmonic Mappings and Holomorphic Foliations; (1.1) Some generalities about bounded symmetric domains; (1.2) Some remarks on quotients of bounded symmetric domains; (1.3) Local rigidity for compact quotients of bounded symmetric domains; (1.4) Mostow's Strong Rigidity Theorem.
  table of contents: (1.5) Harmonic mappings into compact manifolds of non-positive curvature(1.6) Siu's Strong Rigidity Theorem for Kähler manifolds; (1.7) Irreducible compact quotients of the polydisc; (1.8) Holomorphic foliations arising from harmonic maps into irreducible compact quotients of the polydisc; (1.9) Strong rigidity for quotients of the ball of finite volume; (1.10) Strong rigidity for irreducible quotients of the polydisc of finite volume; Lecture II. Uniformization of Compact Kähler Manifolds of Nonnegative Curvature; (2.1) Hermitian symmetric manifolds of compact type.
  table of contents: (2.2) Bochner formulas and the maximum principle on tensors(2.3) Existence of rational curves and the Hartshorne conjecture; (2.4) Stable harmonic mappings and the Frankel Conjecture; (2.5) Evolution of Kähler metric by the parabolic Einstein equation; (2.6) Compact Kähler-Einstein manifolds of non-negative holomorphic bisectional curvature; (2.7) Characterization of locally symmetric spaces of rank d"2 by the holonomy group; (2.8) The space of minimal rational curves on Hermitian symmetric manifolds of compact type.
  table of contents: (2.9) Holonomy-invariance of the space of tangents to minimal rational curvesLecture III. Compactification of Complete Kähler Manifolds of Positive Curvature; The Frankel Conjecture for open manifolds; (3.2) Techniques of L2-estimate of ∂ for the embedding problem; (3.3) Siegel's Theorem for the field of rational functions; (3.4) L2-estimates for the ideal problem and quasi-surjectivity; (3.5) Desingularizing the quasi-surjective embedding Fo; (3.6) Completion to a proper holomorphic embedding; (3.7) Embedding complete Kähler manifolds of positive Ricci curvature
  table of contents: (3.8) Characterization of affine-algebraic varietiesLecture IV. Compactification of Complete Kähler-Einstein Manifolds of Finite Volume; (4.1) Compactification of arithmetic quotients of bounded symmetric domains and generalizations; (4.2) Siegel's Theorem on pseudoconcave manifolds; (4.3) Embedding certain pseudoconcave manifolds; (4.4) Scheme for compactifying certain pseudoconcave manifolds of negative Ricci curvature; (4.5) Existence theorems on complete Kähler-Einstein metrics on non-compact manifolds; (4.6) L2-Riemann-Roch inequality of Nadel-Tsuji.
  note: edited by T. Ochiai.
  note: Includes bibliographical references at the end of each chapters.
  subject:
    topic: Geometry, Differential
  subject:
    topic: Geometry, Analytic
  subject:
    topic: Géométrie différentielle
  subject:
    topic: Géométrie analytique
  subject:
    topic: MATHEMATICS
    topic: Geometry
    topic: General
  subject:
    topic: Geometry, Analytic
  subject:
    topic: Geometry, Differential
  classification: QA641 .R434 1990eb
  classification: 516.36
  related item:
    title info:
      title: Recent topics in differential and analytic geometry
    origin info:
      publisher: Tokyo, Japan : Kinokuniya Company Ltd., ©1990
    physical description:
      extent: 443 pages
  related item:
    title info:
      title: Advanced studies in pure mathematics (Tokyo, Japan) ; 18-I
  identifier: 9781483214689
  identifier: 1483214680
  identifier: 9780120010189
  identifier: 4314100311
  identifier: 9784314100311
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: E7B
    record creation date: 150123
    record change date: 20260326213130.9
    record identifier: in00005758906
    language of cataloging:
      language term: eng