On a class of Kähler manifolds whose geodesic flows are integrable
| dc.creator | Kiyohara, Kazuyoshi | |
| dc.date | 1995-09-20 | |
| dc.date.accessioned | 2026-07-07T09:12:36Z | |
| dc.date.available | 2026-07-07T09:12:36Z | |
| dc.description | We study $n$-dimensional Kähler manifolds whose geodesic flows possess $n$ first integrals in involution that are fibrewise hermitian forms and simultaneously normalizable. Under some mild assumption, one can associate with such a manifold an $n$-dimensional commutative Lie algebra of infinitesimal automorphisms. This, combined with the given $n$ first integrals, makes the geodesic flow integrable. If the manifold is compact, then it becomes a toric variety. | |
| dc.description | 67 pages, AmSTeX 2.1 | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9509004 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9509004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152074 | |
| dc.subject | Differential Geometry | |
| dc.title | On a class of Kähler manifolds whose geodesic flows are integrable | |
| dc.type | text |