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Record Nr. |
UNINA9910811889403321 |
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Autore |
Kiyohara Kazuyoshi <1954-> |
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Titolo |
Two classes of Riemannian manifolds whose geodesic flows are integrable / / Kazuyoshi Kiyohara |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1997] |
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©1997 |
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ISBN |
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Descrizione fisica |
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1 online resource (159 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 619 |
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Disciplina |
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Soggetti |
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Geodesic flows |
Riemannian manifolds |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1997, volume 130, number 619 (third of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 142-143). |
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Nota di contenuto |
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""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. |
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