Riemannian Geometry

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Walter de Gruyter, Jan 1, 1995 - Mathematics - 409 pages
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A section on foundations reviews differential calculus and topology and explains tensor bundles, Riemannian curvature, and isometric immersions, while subsequent sections on curvature and topology and structure of the geodesic flow present information on symmetric spaces, the sphere theorem, Hamiltonian systems, and the theorem of the three closed geodesics. This second edition includes material on the author's Main Theorem for Surfaces of Genus 0. Annotation copyright by Book News, Inc., Portland, OR
  

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Contents

Foundations
1
Curvature and Topology
124
Structure of the Geodesic Flow
256

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Page 398 - Note von der geodätischen Linie auf einem Ellipsoid und den verschiedenen Anwendungen einer merkwürdigen analytischen Substitution", Grelle J.

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