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: Natural Operations in Differential Geometry
  name:
    name part: Kolář, Ivan
    name part: Prof. RNDr
    role:
      role term: creator
  name:
    name part: Slovák, Jan
    name part: 1960-
  name:
    name part: Michor, Peter W.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  genre: Electronic books.
  origin info:
    place:
      place term: gw
    date issued: 1993
    issuance: monographic
  language:
    language term: eng
  physical description:
    reformatting quality: access
    form: remote
    extent: 1 online resource (vi, 434 pages)
  abstract: The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The book begins with an introduction to differential geometry stressing naturality and functionality, and the general theory of connections on arbitrary fibered manifolds. The functional approach to classical natural bundles is extended to a large class of geometrically interesting categories. Several methods of finding all natural operators are given and these are identified for many concrete geometric problems. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces, and the basic structures from the theory of jets are therefore described here too in a self-contained manner. The relations of these geometric problems to corresponding questions in mathematical physics are brought out in several places in the book, and it closes with a very comprehensive bibliography of over 300 items. This book is a timely addition to literature filling the gap that existed here and will be a standard reference on natural operators for the next few years.
  note: by Ivan Kolář, Jan Slovák, Peter W. Michor.
  note: Electronic resource.
  subject:
    topic: Mathematics
  subject:
    topic: Global differential geometry
  subject:
    topic: Quantum theory
  subject:
    topic: Global differential geometry
  subject:
    topic: Mathematics
  subject:
    topic: Quantum theory
  classification: QA641-670
  classification: 516.36
  identifier: 9783662029503 (electronic bk.)
  identifier: 3662029502 (electronic bk.)
  identifier: 9783642081491
  identifier: 3642081495
  identifier: 3662029502
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: AU@
    record creation date: 130220
    record change date: 20260422230742.5
    record identifier: in00003572992
    language of cataloging:
      language term: eng