Abstract

The object of the present paper is to study {\it weakly conformally symmetric manifolds}. Among others it is shown that an Einstein weakly conformally symmetric manifold reduces to a weakly symmetric manifold. Also several examples of weakly conformally symmetric manifolds with non-vanishing scalar curvature have been obtained.

Keywords: Weakly conformally symmetric manifold; conformal curvature tensor; conformal transformation; scalar curvature.

MSC: 53B35, 53B05, 53B05

Pages:  269$-$284     

Volume  60 ,  Issue  4 ,  2008