Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Kazuyoshi Kiyohara
Jan 1997 · American Mathematical Society: Memoirs of the American Mathematical Society Book 619 · American Mathematical Soc.
Ebook
143
Pages
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About this ebook
In this work, 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.
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