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Manifolds all of whose Geodesics are Closed
Language: en
Pages: 271
Authors: A. L. Besse
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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X 1 O S R Cher lecteur, J'entre bien tard dans la sphere etroite des ecrivains au double alphabet, moi qui, il y a plus de quarante ans deja, avais accueilli su
Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Language: en
Pages: 159
Authors: Kazuyoshi Kiyohara
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and
Lectures on Closed Geodesics
Language: en
Pages: 248
Authors: W Klingenberg
Categories: Curves on surfaces
Type: BOOK - Published: 1978-01-01 - Publisher:

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Riemannian Manifolds and Homogeneous Geodesics
Language: en
Pages: 482
Authors: Valerii Berestovskii
Categories: Mathematics
Type: BOOK - Published: 2020-11-05 - Publisher: Springer Nature

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This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them. It also provides a detailed intro
Geodesic Flows
Language: en
Pages: 160
Authors: Gabriel P. Paternain
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold. The topics covered are close to