On $K$-contact Einstein manifolds
Copyright policy )On $K$-contact Einstein manifolds
In this paper, we investigate K-contact Einstein manifolds satisfying the conditions RC = Q(S,C), where C is the conformal curvature tensor and R the Riemannian curvature tensor. Next we consider K-contact Einstein manifolds satisfying the curvature condition C.S = 0, where S is the Ricci tensor. Also we study K-contact Einstein manifolds satisfying the condition S.C = 0. Finally, we consider K-contact Einstein manifolds satisfying Z .C = 0, where Z is the concircular curvature tensor.
- University of Calcutta India
concircular curvature tensor, K-contact manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Einstein manifold, K-contact Einstein manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Almost contact and almost symplectic manifolds, conformal curvature tensor
concircular curvature tensor, K-contact manifold, Special Riemannian manifolds (Einstein, Sasakian, etc.), Einstein manifold, K-contact Einstein manifold, General geometric structures on manifolds (almost complex, almost product structures, etc.), Almost contact and almost symplectic manifolds, conformal curvature tensor
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