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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
Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Language: en
Pages: 143
Authors: Kazuyoshi Kiyohara
Categories: Mathematics
Type: BOOK - Published: 1997 - Publisher: American Mathematical Soc.

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In this work, two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville
Elements of Topological Dynamics
Language: en
Pages: 772
Authors: J. de Vries
Categories: Mathematics
Type: BOOK - Published: 1993-06-30 - Publisher: Springer Science & Business Media

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This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to p
Geometry of the Generalized Geodesic Flow and Inverse Spectral Problems
Language: en
Pages: 428
Authors: Vesselin M. Petkov
Categories: Mathematics
Type: BOOK - Published: 2017-01-30 - Publisher: John Wiley & Sons

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This book is a new edition of a title originally published in1992. No other book has been published that treats inverse spectral and inverse scattering results
Integrable Geodesic Flows on Two-Dimensional Surfaces
Language: en
Pages: 344
Authors: A.V. Bolsinov
Categories: Mathematics
Type: BOOK - Published: 2000 - Publisher: Springer

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From Moscow State University, Bolsinov (computer methods) and Fomenko (differential geometry) present a new approach to the qualitative analysis of the particul