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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.
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참고문헌 (14)
참고문헌 신청
/ 1949 / Curvature and Betti numbers 50 (2) : 77 ~ 93
/ 1958 / On contact manifolds 68 : 721 ~ 734
/ 1962 / Some remarks on space with a certain contact structure 14 : 135 ~ 145
/ 1969 / On contact structures of tangent sphere bundles 21 : 117 ~ 143
/ 1969 / On the C-Bochner curvature tensor 5 : 21 ~ 30
/ 1958 / On contact manifolds 68 : 721 ~ 734
/ 1962 / Some remarks on space with a certain contact structure 14 : 135 ~ 145
/ 1969 / On contact structures of tangent sphere bundles 21 : 117 ~ 143
/ 1969 / On the C-Bochner curvature tensor 5 : 21 ~ 30
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