Two classes of Riemannian manifolds whose geodesic flows are integrable / / Kazuyoshi Kiyohara
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| Autore: |
Kiyohara Kazuyoshi <1954->
|
| Titolo: |
Two classes of Riemannian manifolds whose geodesic flows are integrable / / Kazuyoshi Kiyohara
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| ©1997 | |
| Descrizione fisica: | 1 online resource (159 p.) |
| Disciplina: | 510 s |
| 516.3/73 | |
| Soggetto topico: | Geodesic flows |
| Riemannian manifolds | |
| Note generali: | "November 1997, volume 130, number 619 (third of 4 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (pages 142-143). |
| Nota di contenuto: | ""Contents""; ""Preface""; ""Part 1. Liouville Manifolds""; ""Introduction""; ""Preliminary remarks and notations""; ""1. Local Structure of Proper Liouville Manifolds""; ""1.1. Liouville manifolds and the properness""; ""1.2. Infinitesimal structure at a point in M[sup(s)]""; ""1.3. Local structure around a point in M[sup(s)]""; ""1.4. Proof of Lemma 1.2.7""; ""2. Global Structure of Proper Liouville Manifolds""; ""2.1. Submanifolds J""; ""2.2. Admissible submanifolds""; ""2.3. The core of a proper Liouville manifold""; ""3. Proper Liouville Manifolds of Rank One"" |
| ""3.1. Configuration of zeros and type of cores""""3.2. Possible cores""; ""3.3. Constructing a Liouville manifold from a possible core""; ""3.4. Classification""; ""3.5. Isomorphisms and isometries""; ""3.6. C[sub(2)]Ï€-metrics""; ""Appendix. Simply Connected Manifolds of Constant Curvature""; ""A.1. Possible cores""; ""A.2. The sphere S[sup(n)]""; ""A.3. The euclidean space R[sup(n)]""; ""A.4. The hyperbolic space H[sup(n)]""; ""Part 2. Kahler-Liouville Manifolds""; ""Introduction""; ""Preliminary remarks and notations""; ""1. Local calculus on M[sup(1)]""; ""2. Summing up the local data"" | |
| ""3. Structure of M � M[sup(1)""""4. Torus action and the invariant hypersurfaces""; ""5. Properties as a toric variety""; ""6. Bundle structure associated with a subset of A""; ""7. The case where #A = 1""; ""8. Existence theorem""; ""References"" | |
| Titolo autorizzato: | Two classes of Riemannian manifolds whose geodesic flows are integrable |
| ISBN: | 1-4704-0208-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788733203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 619.