Simple closed geodesics on most Alexandrov surfaces

被引：3
|
作者：
Rouyer, Joel [1 ]
Vilcu, Costin [1 ]
机构：
[1] Romanian Acad, Simion Stoilow Inst Math, Bucharest 70700, Romania
来源：
ADVANCES IN MATHEMATICS | 2015年 / 278卷
关键词：
Alexandrov surface; Simple closed geodesic; Baire category; CURVATURE;
D O I：
10.1016/j.aim.2015.04.003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of simple closed geodesics on most (in the sense of Baire category) Alexandrov surfaces with curvature bounded below, compact and without boundary. We show that it depends on both the curvature bound and the topology of the surfaces. (C) 2015 Elsevier Inc. All rights reserved.
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页码：103 / 120
页数：18
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