Two classes of Riemannian manifolds whose geodesic flows are integrable
Two classes of Riemannian manifolds whose geodesic flows are integrable
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两类测地流可积的黎曼流形
DOI：
10.1090/memo/0619
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发表时间：
1997
影响因子：
1.9
通讯作者：
K. Kiyohara
中科院分区：
文献类型：
--
作者：
K. Kiyohara
部分1. Liouville歧管：引言初步意见和符号的局部结构的适当刘维流形的整体结构的适当刘维流形适当刘维流形的秩一附录。常曲率的单连通流形Part 2. Kahler-Liouville流形：引言初步评论和符号局部演算$M ^1 $总结了局部数据结构的$M-M ^1$环面行动和不变超曲面的性质作为一个复曲面品种捆绑结构相关联的一个子集$\mathcal A$的情况下$没有。\mathcal A=1$存在定理。
Part 1. Liouville Manifolds: Introduction Preliminary remarks and notations Local structure of proper Liouville manifolds Global structure of proper Liouville manifolds Proper Liouville manifolds of rank one Appendix. Simply connected manifolds of constant curvature Part 2. Kahler-Liouville manifolds: Introduction Preliminary remarks and notations Local calculus on $M^1$ Summing up the local data Structure of $M-M^1$ Torus action and the invariant hypersurfaces Properties as a toric variety Bundle structure associated with a subset of $\mathcal A$ The case where $ No. \mathcal A=1$ Existence theorem.