The length of a shortest closed geodesic and the area of a 2-dimensional sphere
The length of a shortest closed geodesic and the area of a 2-dimensional sphere
复制标题
最短闭合测地线的长度和二维球体的面积
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
R. Rotman
中科院分区：
文献类型：
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作者：
R. Rotman
设M是一个同胚于s2的黎曼流形。本文的目的是根据M的面积a建立最短封闭测地线长度l(M)的新不等式。该结果改进了C.B. Croke (1988), a . Nabutovsky和作者（2002）以及S. Sabourau（2004）先前已知的不等式。
Let M be a Riemannian manifold homeomorphic to S 2 . The purpose of this paper is to establish the new inequality for the length of a shortest closed geodesic, l(M), in terms of the area A of M. This result improves previously known inequalities by C.B. Croke (1988), by A. Nabutovsky and the author (2002) and by S. Sabourau (2004).