南方科技大学知识苑(SUSTech KC): Homoclinic intersections for geodesic flows on convex spheres

名称	Homoclinic intersections for geodesic flows on convex spheres
作者	Xia，Zhihong1,2 ; Zhang，Pengfei 3
发布日期	2017
关键词	Closed geodesic Convex spheres Elliptic geodesic Geodesic flow Hyperbolic geodesic Nonlinearly stable Prime-end compactification Transverse homoclinic intersections
语种	英语
相关链接	[Scopus记录]
摘要	In this paper, we study some generic properties of the geodesic flows on a convex sphere. We prove that, C generically (2 ≤ r ≤ ∞), every hyperbolic closed geodesic on S admits some transverse homoclinic intersections.
DOI	10.1090/conm/698/13980
期刊来源	Contemporary Mathematics
卷号	698
页码	221-238
ISSN	0271-4132
收录类别	CPCI-S
学校署名	第一
Scopus记录号	2-s2.0-85033483697
来源库	Scopus
WOS记录号	WOS:000508206000013
EISSN	1098-3627
引用统计	被引频次[WOS]：2
成果类型	其他
条目标识符	http://sustech.caswiz.com/handle/2SGJ60CL/382658
专题	理学院_数学系
作者单位	1.Department of Mathematics,Southern University of Science and Technology,Shenzhen,518055,China 2.Department of Mathematics,Northwestern University,Evanston,60208,United States 3.Department of Mathematics,University of Mississippi,Oxford,38677,United States
第一作者单位	数学系
推荐引用方式 GB/T 7714	Xia，Zhihong,Zhang，Pengfei. Homoclinic intersections for geodesic flows on convex spheres. 2017-01-01.