Riemannian Geometry

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W. de Gruyter, 1982 - 396 páginas
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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Foundations
1
Curvature and Topology
124
Structure of the Geodesic Flow
256
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