Rakesh Kumar, R. K. Nagaich, Jae-Bok Jun, “Vanishing of the Bochner curvature tensor of indefinite almost Hermitian manifolds”, Eurasian Math. J., 2011, Volume 2, Number 3,Pages <nobr>82

Vanishing of the Bochner curvature tensor of indefinite almost Hermitian manifolds

Rakesh Kumar^a, R. K. Nagaich^a, Jae-Bok Jun^b

^a Punjabi University, Patiala, India
^b Department of Mathematics, College of Natural Science, Kookmin University, Seoul, Korea

Abstract: The aim of this paper is to discuss indefinite almost Hermitian manifold with the vanishing Bochner curvature tensor. Relations between the anti-holomorphic sectional curvature, the holomorphic sectional curvature and the Bochner curvature tensor have also been established.

Keywords and phrases: Bochner curvature tensor, indefinite almost Hermitian manifold, holomorphic sectional curvature.

MSC: 53B35, 53C55

Received: 17.05.2011

Language: English