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: Projective differential geometry of submanifolds
  name:
    name part: Akivis, M. A. (Maks Aĭzikovich)
    role:
      role term: creator
  name:
    name part: Golʹdberg, V. V. (Vladislav Viktorovich)
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: ne
    place:
      place term: Amsterdam
    place:
      place term: New York
    publisher: North-Holland
    date issued: 1993
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xi, 362 pages) : illustrations
  abstract: In this book, the general theory of submanifolds in a multidimensional projective space is constructed. The topics dealt with include osculating spaces and fundamental forms of different orders, asymptotic and conjugate lines, submanifolds on the Grassmannians, different aspects of the normalization problems for submanifolds (with special emphasis given to a connection in the normal bundle) and the problem of algebraizability for different kinds of submanifolds, the geometry of hypersurfaces and hyperbands, etc. A series of special types of submanifolds with special projective structures are studied: submanifolds carrying a net of conjugate lines (in particular, conjugate systems), tangentially degenerate submanifolds, submanifolds with asymptotic and conjugate distributions etc. The method of moving frames and the apparatus of exterior differential forms are systematically used in the book and the results presented can be applied to the problems dealing with the linear subspaces or their generalizations. Graduate students majoring in differential geometry will find this monograph of great interest, as will researchers in differential and algebraic geometry, complex analysis and theory of several complex variables.
  table of contents: Front Cover; Projective Differential Geometry of Submanifolds; Copyright Page; Preface; Table of Contents; Chapter 1. Preliminaries; Chapter 2. The Foundations of Projective Differential Geometry of Submanifolds; Chapter 3. Submanifolds Carrying a Net of Conjugate Lines; Chapter 4. Tangentially Degenerate Submanifolds; Chapter 5. Submanifolds with Asymptotic and Conjugate Distributions; Chapter 6. Normalized Submanifolds in a Projective Space; Chapter 7. Projective Differential Geometry of Hypersurfaces; Chapter 8. Algebraization Problems in Projective Differential Geometry; Bibliography.
  note: M.A. Akivis, V.V. Golʹdberg.
  note: Includes bibliographical references (pages 297-331) and index.
  subject:
    topic: Submanifolds
  subject:
    topic: Projective differential geometry
  subject:
    topic: Sous-variétés (Mathématiques)
  subject:
    topic: Géométrie différentielle projective
  subject:
    topic: MATHEMATICS
    topic: Geometry
    topic: Differential
  subject:
    topic: Projective differential geometry
  subject:
    topic: Submanifolds
  subject:
    topic: Geometria diferencial projetiva
  subject:
    topic: Géométrie projective
  subject:
    topic: Géométrie différentielle
  subject:
    topic: Sous-variétés (mathématiques)
  subject:
    topic: Géométrie différentielle projective
  subject:
    topic: Differential geometry
  classification: QA649 .A38 1993eb
  classification: 516.3/62
  related item:
    title info:
      title: Projective differential geometry of submanifolds
    name:
      name part: Akivis, M.A. (Maks Aĭzikovich).
    origin info:
      publisher: Amsterdam ; New York : North-Holland, 1993
    identifier: (DLC) 93010725
    identifier: (OCoLC)27974819
  related item:
    title info:
      title: North-Holland mathematical library ; 49
  identifier: 9780444897718
  identifier: 0444897712
  identifier: 9780080887166
  identifier: 0080887163
  identifier: 1281778982
  identifier: 9781281778987
  identifier: 93010725
  identifier: 122151:125996 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 090320
    record change date: 20260326161335.2
    record identifier: in00005737104
    language of cataloging:
      language term: eng