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On Endo Curvature Tensor of a Contact Metric Manifold
並列摘要
We prove that a (k, μ)-manifold with vanishing Endo curvature tensor is a Sasakian manifold. We find a necessary and sufficient condition for a non-Sasakian (k, μ)-manifold whose Endo curvature tensor B(superscript es) satisfies B(superscript es)(ξ, X)•S=0, where S is the Ricci tensor. Using D-homothetic deformation we obtain an example of an N (k)-contact metric manifold on which B(superscript )(ξ,X)•S≠0.
延伸閱讀
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