Riemannian Geometry and Geometric Analysis / by Jürgen Jost.

  • Third edition.
  • Berlin, Heidelberg : Springer Berlin Heidelberg 2002
Physical description
1 online resource (xiii, 535 pages)
  • 9783662046722
  • 3662046725
  • Includes bibliographic references and index.
  • Fundamental Material -- De Rham Cohomology and Harmonic Differential Forms -- Parallel Transport, Connections, and Covariant Derivatives -- Geodesics and Jacobi Fields -- A Short Survey on Curvature and Topology: Symmetric Spaces and Kähler Manifolds -- Morse theory and Floer homology -- Variational Problems from Quantum Field Theory -- Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equations -- Appendix B: Fundamental Groups and Covering Spaces -- Index.
Related item
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  • English


  • The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.

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Location of copy Shelfmark Online location Holdings Notes
University of Aberdeen Libraries: Sir Duncan Rice Library: Floor 5 516 53-02 Jos
University of Bath Library Online location
University of Bath Library Online location
University of Cambridge Libraries: Moore Library: Main Library QA649 .J67 2002
University of Leeds Library: Edward Boyle Library, level 11 Mathematics E-5 JOS
University of Leicester Library: David Wilson Library, Floor 1 Blue Zone 516.373 JOS
University of Oxford Libraries: St Catherine's College Library 512 JOS
University of St Andrews Library: J F Allen Library QA649.J7
University of Surrey Online location
UCL Library Services: UCL Science Library MATHEMATICS G 50 JOS
University of Warwick Library Online location Connect to Springer e-book
University of Warwick Library: Store QA 685.J6