Open AccessGeodesic mappings of compact quasi-Einstein spaces, I
Author(s) -
Volodymyr Kiosak,
A. M. Savchenko,
Galyna Kovalova
Publication year - 2020
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.124
H-Index - 2
eISSN - 2409-8906
pISSN - 2072-9812
DOI - 10.15673/tmgc.v13i1.1711
Subject(s) - einstein , geodesic , generalization , pure mathematics , mathematics , type (biology) , space (punctuation) , mathematical analysis , computer science , mathematical physics , ecology , biology , operating system
The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient dening vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these spaces that permit locally geodesic mappings. Authors proved "a theorem of disappearance" for compact quasi-Einstein spaces of main type.