[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.1.081

A CURVATURE-LIKE TENSOR FIELD ON A SASAKIAN MANIFOLD

Kim, Young-Mi (DEPARTMENT OF MATHEMATICS EDUCATION, COLLEGE OF EDUCATION, SILLA UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.1, 2006 , pp. 81-99 More about this Journal

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;

Citations & Related Records

Times Cited By SCOPUS : 0

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