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: Semi-Riemannian geometry
    sub title: with applications to relativity
  name:
    name part: O'Neill, Barrett.
    role:
      role term: creator
  name:
    name part: ScienceDirect (Online service)
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: nyu
    place:
      place term: New York
    publisher: Academic Press
    date issued: 1983
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xiii, 468 pages)
  abstract: This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.
  table of contents: Manifold Theory. Tensors. Semi-Riemannian Manifolds. Semi-Riemannian Submanifolds. Riemannian and Lorenz Geometry. Special Relativity. Constructions. Symmetry and Constant Curvature. Isometries. Calculus of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry. Causality in Lorentz Manifolds. Fundamental Groups and Covering Manifolds. Lie Groups. Newtonian Gravitation.
  note: Barrett O'Neill.
  note: Includes bibliographical references (pages 456-457) and index.
  subject:
    topic: Geometry, Riemannian
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Calculus of tensors
  subject:
    topic: Relativity (Physics)
  subject:
    topic: Géométrie de Riemann
  subject:
    topic: Variétés (Mathématiques)
  subject:
    topic: Calcul tensoriel
  subject:
    topic: Relativité (Physique)
  subject:
    topic: MATHEMATICS
    topic: Pre-Calculus
  subject:
    topic: MATHEMATICS
    topic: Reference
  subject:
    topic: MATHEMATICS
    topic: Essays
  subject:
    topic: Calculus of tensors
  subject:
    topic: Geometry, Riemannian
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Relativity (Physics)
  subject:
    topic: Riemann-vlakken
  subject:
    topic: Tensoren
  subject:
    topic: Relativiteitstheorie
  subject:
    topic: Manifolds
  subject:
    topic: Geometria
  subject:
    topic: Topological spaces: Riemannian manifolds
  classification: QA3 .P8 vol. 103eb
  classification: QA649 .O64 1983eb
  classification: 516.3/73
  related item:
    title info:
      title: Semi-Riemannian geometry
    name:
      name part: O'Neill, Barrett.
    origin info:
      publisher: New York : Academic Press, 1983
    identifier: (DLC) 82013917
    identifier: (OCoLC)8708965
  related item:
    title info:
      title: Pure and applied mathematics (Academic Press) ; 103
  identifier: 9780080570570
  identifier: 0080570577
  identifier: 9780125267403
  identifier: 0125267401
  identifier: 83814:83814 Elsevier Science & Technology
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: OPELS
    record creation date: 090320
    record change date: 20260326161527.8
    record identifier: in00005737207
    language of cataloging:
      language term: eng