ON BOCHNER CURVATURE TENSOR ON KAEHLER-NORDEN MANIFOLDS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 31

Abstract

In this paper we prove that a Bochner flat Kaehler Norden manifold is holomorphically projectively flat provided the $*$-scalar curvature tensor $S(e_i, e_i)$ vanish. We also show that a Kaehler-Norden manifold is Bochner symmetric if and only if it is locally symmetric and a Kaehler-Norden manifold is Bochner semi-symmetric if and only if it is semi-symmetric.

Keywords and Phrases

Kaehler-Norden manifold, Bochner curvature tensor, holomorphic projective curvature tensor, semi-symmetric manifold.

A.M.S. subject classification

53C26, 53C55.

.....

Download PDF 31 Click here to Subscribe now