Two Classes Of Riemannian Manifolds Whose Geodesic Flows Are Integrable
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Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Author: Kazuyoshi Kiyohara
language: en
Publisher: American Mathematical Soc.
Release Date: 1997
Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many new examples of manifolds with integrable geodesic flow.
Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Author: Kazuyoshi Kiyohara
language: en
Publisher: Oxford University Press, USA
Release Date: 2014-09-11
Two classes of manifolds whose geodesic flows are integrable are defined, and their global structures are investigated. They are called Liouville manifolds and Kahler-Liouville manifolds respectively. In each case, the author finds several invariants with which they are partly classified. The classification indicates, in particular, that these classes contain many examples of manifolds with integrable geodesic flow.
Integrable Hamiltonian Systems
Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems. This book explores the topology of integrable systems and the general theory underlying their qualitative properties, singularites, and topological invariants. The authors,