Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable
Download or Read eBook Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable PDF written by Kazuyoshi Kiyohara and published by American Mathematical Soc.. This book was released on 1997 with total page 159 pages. Available in PDF, EPUB and Kindle.
Author | : Kazuyoshi Kiyohara |
Publisher | : American Mathematical Soc. |
Total Pages | : 159 |
Release | : 1997 |
ISBN-10 | : 9780821806401 |
ISBN-13 | : 0821806408 |
Rating | : 4/5 (01 Downloads) |
Book Synopsis Two Classes of Riemannian Manifolds Whose Geodesic Flows Are Integrable by : Kazuyoshi Kiyohara
Book excerpt: 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.