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: Riemannian Geometry and Geometric Analysis
  name:
    name part: Jost, Jürgen.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 611 p. 16 illus., 4 illus. in color. online resource.
  abstract: This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. The previous edition already introduced and explained the ideas of the parabolic methods that had found a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discussed further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. The 6th edition includes a systematic treatment of eigenvalues of Riemannian manifolds and several other additions. Also, the entire material has been reorganized in order to improve the coherence of the book. From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. ... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Mathematical Reviews "...the material ... is self-contained. Each chapter ends with a set of exercises. Most of the paragraphs have a section ‘Perspectives’, written with the aim to place the material in a broader context and explain further results and directions." Zentralblatt MATH .
  table of contents: 1. Riemannian Manifolds -- 2. Lie Groups and Vector Bundles -- 3. The Laplace Operator and Harmonic Differential Forms -- 4. Connections and Curvature -- 5. Geodesics and Jacobi Fields -- 6. Symmetric Spaces and K¨ahler Manifolds -- 7. Morse Theory and Floer Homology -- 8. Harmonic Maps between Riemannian Manifolds -- 9. Harmonic Maps from Riemann Surfaces -- 10. Variational Problems from Quantum Field Theory -- A. Linear Elliptic Partial Differential Equations -- A.1 Sobolev Spaces -- A.2 Linear Elliptic Equations -- A.3 Linear Parabolic Equations -- B. Fundamental Groups and Covering Spaces -- Bibliography -- Index.
  note: by Jürgen Jost.
  subject:
    topic: Mathematics
  subject:
    topic: Differential geometry
  subject:
    topic: Physics
  subject:
    topic: Mathematics
  subject:
    topic: Differential Geometry
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  classification: QA641-670
  classification: 516.36
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Universitext
  identifier: 9783642212987
  identifier: http://dx.doi.org/10.1007/978-3-642-21298-7
  record info:
    record creation date: 110726
    record change date: 20151125022201.0
    record identifier: 978-3-642-21298-7