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Riemannian geometry and geometric analysis / Jürgen Jost.

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Author/Creator:
Jost, Jürgen, 1956-
Language:
English.
Publication date:
2011
Imprint:
6th ed. - Heidelberg ; New York : Springer, c2011.
Format:
  • Book
  • xiii, 611 p. : ill. ; 24 cm.
Bibliography:
Includes bibliographical references (p. 587-604) and index.
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
  • A short survey on curvature and topology
  • 6. Symmetric spaces and Kähler 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
  • B. Fundamentals groups and covering spaces.
Series:
Universitext.
Subjects:
ISBN:
9783642212970
3642212972

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