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- W4362572911 abstract "In this manuscript, we give the definition of Riemannian concircular structure manifolds. Some basic properties and integrability condition of such manifolds are established. It is proved that a Riemannian concircular structure manifold is semisymmetric if and only if it is concircularly flat. We also prove that the Riemannian metric of a semisymmetric Riemannian concircular structure manifold is a generalized soliton. In this sequel, we show that a conformally flat Riemannian concircular structure manifold is a quasi-Einstein manifold and its scalar curvature satisfies the partial differential equation ?r = ?2r/?t2 + ?(n?1)?r/?t. To validate the existence of Riemannian concircular structure manifolds, we present some non-trivial examples. In this series, we show that a quasi-Einstein manifold with a divergence free concircular curvature tensor is a Riemannian concircular structure manifold." @default.
- W4362572911 created "2023-04-06" @default.
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- W4362572911 date "2022-01-01" @default.
- W4362572911 modified "2023-10-14" @default.
- W4362572911 title "Riemannian concircular structure manifolds" @default.
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- W4362572911 doi "https://doi.org/10.2298/fil2219699c" @default.
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