MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On weakly conformally symmetric manifolds
A. A. Shaikh, M. Hasan Shahid and Shyamal Kumar Hui

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.

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

MSC: 53B35, 53B05, 53B05

Pages:  269--284     

Volume  60 ,  Issue  4 ,  2008