Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable

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  • Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable Book Detail

  • Author : Kazuyoshi Kiyohara
  • Release Date : 1997
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 159
  • ISBN 13 : 0821806408
  • File Size : 81,81 MB

Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable by Kazuyoshi Kiyohara PDF Summary

Book Description: 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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