Том 13 № 1

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Geodesic mappings of compact quasi-Einstein spaces, I
(2020) Volodymyr Kiosak, Aleksandr Savchenko, Galina Kovalova
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.