当前位置：
X-MOL 学术
›
Proc. Am. Math. Soc.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
The length of a shortest closed geodesic on a surface of finite area
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-24 , DOI: 10.1090/proc/15194 I. Beach , R. Rotman
Proceedings of the American Mathematical Society ( IF 1 ) Pub Date : 2020-09-24 , DOI: 10.1090/proc/15194 I. Beach , R. Rotman
Abstract:In this paper we prove new upper bounds for the length of a shortest closed geodesic, denoted 
, on a complete, non-compact Riemannian surface 
of finite area 
. We will show that 
on a manifold with one end, thus improving the prior estimate of C. B. Croke, who first established that 
. Additionally, for a surface with at least two ends we show that 
, improving the prior estimate of Croke that 
.
中文翻译：
有限区域表面上最短闭合测地线的长度
摘要：在本文中，我们证明了最短闭合测地线长度的新上限，该上限在有限区域的完整，非紧致黎曼曲面上表示。我们将在一端显示流形，从而提高对CB Croke的先前估计，后者最早建立了那个估计。另外，对于至少具有两个末端的表面，我们证明了这一点，从而改进了对Croke that的先前估计。
更新日期：2020-10-19
, on a complete, non-compact Riemannian surface of finite area . We will show that on a manifold with one end, thus improving the prior estimate of C. B. Croke, who first established that . Additionally, for a surface with at least two ends we show that , improving the prior estimate of Croke that . 中文翻译：
有限区域表面上最短闭合测地线的长度
摘要：在本文中，我们证明了最短闭合测地线长度的新上限，该上限在有限区域
的完整，非紧致黎曼曲面上表示。我们将在一端显示流形，从而提高对CB Croke的先前估计，后者最早建立了那个估计。另外，对于至少具有两个末端的表面，我们证明了这一点，从而改进了对Croke that的先前估计。 
京公网安备 11010802027423号