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.

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