drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
Research Article

ON BOCHNER CURVATURE TENSOR ON KAEHLER-NORDEN MANIFOLDS

B
B. B. Chaturvedi Department of Pure & Applied Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur, Koni, Bilaspur, Chhattisgarh - 495009, INDIA
B
B. K. Gupta Department of Pure & Applied Mathematics, Guru Ghasidas Vishwavidyalaya Bilaspur, Koni, Bilaspur, Chhattisgarh - 495009, INDIA
Volume 16, Issue 3 Pages 339-346 December 30, 2020 335 downloads
Article overview

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 manifoldBochner curvature tensorholomorphic projective curvature tensorsemi-symmetric manifold.

AMS Subject Classification

53C26, 53C55.

Reference information

How to Cite

B. B. Chaturvedi, B. K. Gupta (2020). ON BOCHNER CURVATURE TENSOR ON KAEHLER-NORDEN MANIFOLDS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 339-346.
Back to this issue
Copied