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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aTwo classes of Riemannian manifolds whose geodesic flows are integrable /$fKazuyoshi Kiyohara
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1997]
210  4$dİ1997
215   $a1 online resource (159 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 619
300   $a"November 1997, volume 130, number 619 (third of 4 numbers)."
311   $a0-8218-0640-8 
320   $aIncludes bibliographical references (pages 142-143).
327   $a""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""
327   $a""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)]I??-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""
327   $a""3. Structure of M a??? M[sup(1)""""4. Torus action and the invariant hypersurfaces""; ""5. Properties as a toric variety""; ""6. Bundle structure associated with a subset of A""; ""7. The case where #A = 1""; ""8. Existence theorem""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vno. 619.
606   $aGeodesic flows
606   $aRiemannian manifolds
615  0$aGeodesic flows.
615  0$aRiemannian manifolds.
676   $a510 s
676   $a516.3/73
700   $aKiyohara$b Kazuyoshi$f1954-$01607390
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910811889403321
996   $aTwo classes of Riemannian manifolds whose geodesic flows are integrable$93933640
997   $aUNINA