On weakly conformally symmetric manifolds

Authors

  • A. A. Shaikh Department of Mathematics, University of Burdwan, Burdwan – 713104, West Bengal, India Author
  • M. Hasan Shahid Department of Mathematics, University of Burdwan, Burdwan – 713104, West Bengal, India Author
  • Shyamal Kumar Hui Department of Mathematics, University of Burdwan, Burdwan – 713104, West Bengal, India Author

Keywords:

Weakly conformally symmetric manifold, conformal curvature tensor, conformal transformation, scalar curvature

Subjects:

53B35, 53B05

Abstract

The object of the present paper is to study {ıt weakly conformally symmetricmanifolds}. Among others it is shown that an Einstein weakly conformallysymmetric manifold reduces to a weakly symmetric manifold. Also several examplesof weakly conformally symmetric manifolds with non-vanishing scalar curvaturehave been obtained.

Published

2008-10-15

Issue

Vol. 60 No. 4 (2008): Vol. 60, Issue 4

Section

Articles

License

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