Differential Geometry of Identity Maps: A Survey

被引：2
作者：
Chen, Bang-Yen [1 ]
机构：
[1] Michigan State Univ, Dept Math, 619 Red Cedar Rd, E Lansing, MI 48824 USA
来源：
MATHEMATICS | 2020年 / 8卷 / 08期
关键词：
identity map; harmonic map; biharmonic map; Gauss map; Laplace map; harmonic metrics; Walker manifold; Godel-type space time; index; nullity; BIHARMONIC MAPS; HARMONIC MAPS; METRICS; STABILITY; SUBMANIFOLDS; SPACETIMES; MANIFOLDS;
D O I：
10.3390/math8081264
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An identity map id(M):M -> M is a bijective map from a manifoldMonto itself which carries each point of M return to the same point. To study the differential geometry of an identity mapid M:M -> M, we usually assume that the domain M and the range M admit metrics g and g ', respectively. The main purpose of this paper is to provide a comprehensive survey on the differential geometry of identity maps from various differential geometric points of view.
引用
收藏
页数：33
相关论文
共 79 条
12345678