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: Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields
  name:
    name part: Chiang, Yuan-Jen.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXI, 399 p. 9 illus., 1 illus. in color. online resource.
  abstract: Harmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields.
  table of contents: Preface. 1 Harmonic Maps -- 2 Wave Maps.-3 Yang-Mills Fields -- 4 Biharmonic Maps -- 5 Biwave Maps -- 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps -- 9. Exponential Yang-Mills Connections -- Index. .
  note: by Yuan-Jen Chiang.
  subject:
    topic: Mathematics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Partial differential equations
  subject:
    topic: Functions of complex variables
  subject:
    topic: Differential geometry
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Global Analysis and Analysis on Manifolds
  subject:
    topic: Differential Geometry
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  subject:
    topic: Several Complex Variables and Analytic Spaces
  classification: QA614-614.97
  classification: 514.74
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Frontiers in Mathematics
  identifier: 9783034805346
  identifier: http://dx.doi.org/10.1007/978-3-0348-0534-6
  record info:
    record creation date: 130618
    record change date: 20151204182917.0
    record identifier: 978-3-0348-0534-6