On $3$-dimensional Lorentzian concircular structure manifolds
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The aim of the present paper is to study the Eisenhart problems of finding the properties of second order parallel tensors (symmetric and skew-symmetric) on a $3$-dimensional $LCS$-manifold. We also investigate the properties of Ricci solitons, Ricci semisymmetric, locally $\phi$-symmetric, $\eta$-parallel Ricci tensor and a non-null concircular vector field on $(LCS)_3$-manifolds.
Abstract
The aim of the present paper is to study the Eisenhart problems of finding the properties of second order parallel tensors (symmetric and skew-symmetric) on a $3$-dimensional $LCS$-manifold. We also investigate the properties of Ricci solitons, Ricci semisymmetric, locally $\phi$-symmetric, $\eta$-parallel Ricci tensor and a non-null concircular vector field on $(LCS)_3$-manifolds.
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