A. A. Salimov, M. Iscan, “On the Geometry of <nobr>$B$</nobr>-manifolds”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009, Volume 151, Book 4,Pages <nobr>231

On the Geometry of $B$-manifolds

A. A. Salimov^ab, M. Iscan^b

^a Baku State University, Baku, Azerbaijan
^b Atatürk University, Erzurum, Turkey

Abstract: The main purpose of the present paper is to study almost $B$-structures (Norden structures) on 8-dimensional Walker manifolds. We discuss the problem of integrability, Kähler (holomorphic) and Einstein conditions for these structures.

Keywords: Walker 8-manifold, Norden metric, holomorphic metric, Einstein metric.

UDC: 514.76

Received: 12.08.2009

Language: English