Some corrections to: ``Closed geodesics on certain Riemannian manifolds of positive curvature''
Some corrections to: ``Closed geodesics on certain Riemannian manifolds of positive curvature''
复制标题
对“某些正曲率黎曼流形上的闭合测地线”的一些更正
DOI：
10.2748/tmj/1178242911
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发表时间：
1966
影响因子：
0.5
通讯作者：
Y. Tsukamoto
中科院分区：
文献类型：
--
作者：
Y. Tsukamoto
在之前的论文“Closed geodesies on certain Riemannian图书馆的正曲率”（Tohoku Math. J. 18 (1966), 138-143）中，我们必须纠正一些错误，主要是因为定理1对于截面曲率K的奇维完全单连通黎曼流形不一定成立，0<k^=K^I，其中£^1/4。我们使用与上一篇论文相同的符号和术语。从现在开始，我们假设M是一个n维完全单连通黎曼流形，截面曲率为K，(Xk^K^l，其中k是一个常数。定理A必须修改如下。
In the previous paper "Closed geodesies on certain Riemannian manifolds of positive curvature" (Tohoku Math. J. 18 (1966), 138-143), we must correct some errors, mainly because Theorem 1 does not necessarily hold for the odd dimensional complete simply connected Riemannian manifolds with sectional curvature K, 0<k^=K^I, where £^1/4. We use the same notations and terminologies as the previous paper. From now on, we assume that M is an n-dimensional complete simply connected Riemannian manifold with sectional curvature K, (Xk^K^l, where k is a constant. Theorem A has to be revised as follows.