POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS
POSITIVELY CURVED MANIFOLDS WITH LARGE CONJUGATE RADIUS
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具有大共轭半径的正弯曲流形
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
B. Schmidt
中科院分区：
文献类型：
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作者：
B. Schmidt
设 M 表示所有截面曲率≥1 的完全单连通黎曼流形。本文的目的是证明当M的共轭半径至少为π/2时，其单射性半径与共轭半径重合。紧致一阶对称空间的度量特征作为应用给出。
Let M denote a complete simply connected Riemannian manifold with all sectional curvatures ≥1. The purpose of this paper is to prove that when M has conjugate radius at least π/2, its injectivity radius and conjugate radius coincide. Metric characterizations of compact rank one symmetric spaces are given as applications.