A CURVATURE-LIKE TENSOR FIELD ON A SASAKIAN MANIFOLD

Title & Authors
A CURVATURE-LIKE TENSOR FIELD ON A SASAKIAN MANIFOLD
Kim, Young-Mi;

Abstract
We investigate a curvature-like tensor defined by (3.1) in Sasakian manifold of $\small{dimension{\geq}}$ 5, and show that this tensor satisfies some properties. Especially, we determine compact Sasakian manifolds with vanishing this tensor and improve some theorems concerning contact conformal curvature tensor and spectrum of Laplacian acting on $\small{p(0{\leq}P{\leq}2)-forms}$ on the manifold by using this tensor component.
Keywords
Sasakian manifold;curvature-like tensor field;D-homothetic;spectrum;
Language
English
Cited by
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