ON THE TOPOLOGY OF QUASI-EINSTEIN SPACES
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2020
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Abstract
The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient defining vector. These spaces are a generalization of well-known Einstein spaces. There are three types of these spaces that permit locally geodesic mappings. We studied some geometric properties of every type.
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Savchenko, A. On the topology of quasi-Einstein spaces / V. Kiosak, A. Savchenko, S. Khniunin // American Institute of Physics Conference Proceedings. – 2020. – V. 2302. – Is. 1. – AIP Conference Proceedings 2302, 040003 (2020) – P. 040003-1– 040003-6. doi.org/10.1063/5.0033700.