Open AccessGeodesic mappings of compact quasi-Einstein spaces, II
Author(s) -
Volodymyr Kiosak,
A. M. Savchenko,
O. Latysh
Publication year - 2021
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.v14i1.1936
Subject(s) - geodesic , einstein , mathematics , pure mathematics , type (biology) , geodesic map , mathematical analysis , mathematical physics , ecology , biology
The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector.
Previously the authors defined three types of these spaces.
In the present paper it is proved that there are no quasi-Einstein spaces of special type.
It is demonstrated that quasi-Einstein spaces of main type are closed with respect to geodesic mappings.
The spaces of particular type are proved to be geodesic $D$-symmetric spaces.