M. Iscan, A. Gezer, A. Salimov, “Some properties concerning curvature tensors of eight-dimensional Walker manifolds”, Zh. Mat. Fiz. Anal. Geom., 2012, Volume 8, Number 1,Pages <nobr>21

This article is cited in 2 papers

Some properties concerning curvature tensors of eight-dimensional Walker manifolds

M. Iscan, A. Gezer, A. Salimov

Atatürk University, Faculty of Science, Department of Mathematics, 25240, Erzurum-Turkey

Abstract: The main purpose of the present paper is to study conditions for the eight-dimensional Walker manifolds which admit a field of parallel null 4-planes to be Einsteinian, Osserman, or locally conformally flat.

Key words and phrases: Walker manifolds, Osserman manifolds, Riemannian extension, Einstein metric.

MSC: Primary 53C50; Secondary 53B05, 32Q20

Received: 19.06.2009

Language: English