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On C-Bochner curvature tensor of a contact metric manifold

최재동|Mukut Mani Tripathi|김정식
대한수학회 (The Korean Mathematical Society)|2005.11|대한수학회보 (Bulletin of the KMS)|제42권 제4호|pp. 713-724

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Abstract

We prove that a (kappa,mu)-manifold with vanishing E-Bochner curvature tensor is a Sasakian manifold. Several interesting corollaries of this result are drawn. Non-Sasakian (kappa,mu)-manifolds with C-Bochner curvature tensor B satisfying B(xi;X)S = 0, where S is the Ricci tensor, are classied. N (kappa)-contact metric manifolds M^{2n +1} , satisfyingB (xi,X)R = 0 or B (xi,X)B = 0 are classied and studied.

참고문헌 (14)

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  14. "On contact structures of tangent sphere bundles", 21, pp.117~143 (1969)

관련 논문AI추천

On the concircular curvature tensor of a contact metric manifoldD.E. Blair, Jeong-Sik Kim, Mukut Mani Tripathi대한수학회 · 대한수학회지2005 · 제42권 제5호On a Normal Contact Metric ManifoldConstantin Calin, Mihai Ispas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호Hypersurfaces of the Contact Metric Manifold with a Nullity Condition and -constant Sectional CurvatureCalin Agut경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제2호On generalized Ricci-recurrent trans-Sasakian manifolds김정식, Mukut Mani Tripathi, Rajendra Prasad대한수학회 · 대한수학회지2002 · 제39권 제6호On N(κ)-Contact Metric Manifolds Satisfying Certain Curvature Conditions전재복, Avik De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호A curvature-like tensor field on a Sasakian manifold김영미대한수학회 · 대한수학회보2006 · 제43권 제1호

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