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A CURVATURE-LIKE TENSOR FIELD ON A SASAKIAN MANIFOLD

  • Published : 2006.02.01

Abstract

We investigate a curvature-like tensor defined by (3.1) in Sasakian manifold of $dimension{\geq}$ 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 $p(0{\leq}P{\leq}2)-forms$ on the manifold by using this tensor component.

Keywords

Sasakian manifold;curvature-like tensor field;D-homothetic;spectrum

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