The Sondheim review [[electronic resource]]

• Record Nr.: UNINA9910683338803321
• Pubbl/distr/stampa: Chicago, IL, : Sondheim Review, c1994-
• Descrizione fisica: 1 online resource
• Disciplina: 782.1/4/092
• Soggetti: Periodicals.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Periodico

Two classes of Riemannian manifolds whose geodesic flows are integrable / / Kazuyoshi Kiyohara

• Record Nr.: UNINA9910788733203321
• Autore: Kiyohara Kazuyoshi <1954->
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [1997]; ©1997
• ISBN: 1-4704-0208-4
• Descrizione fisica: 1 online resource (159 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 619
• Disciplina: 510 s; 516.3/73
• Soggetti: Geodesic flows; Riemannian manifolds
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• 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 â€? 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""