Differential Geometry of Identity Maps: A Survey

Autor: Bang-Yen Chen
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Mathematics, Vol 8, Iss 8, p 1264 (2020)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math8081264
Popis: An identity map idM:M→M is a bijective map from a manifold M onto itself which carries each point of M return to the same point. To study the differential geometry of an identity map idM: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.
Databáze: Directory of Open Access Journals
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