On generalized pseudo quasi-Einstein manifolds

Authors

  • Absos Ali Shaikh Department of Mathematics University of Burdwan, Golapbag, Burdwan-713104, W. B., India Author
  • Ananta Patra Department of Mathematics University of Burdwan, Golapbag, Burdwan-713104, W. B., India Author

Keywords:

generalized pseudo quasi-Einstein manifold, generalized pseudo quasi-constant curvature, conformally flat manifold, Killing vector field, sectional curvature.

Abstract


The object of the present paper is to introduce a type of non-flat Riemannian manifolds called generalized pseudo quasi-Einstein manifold and to study some geometric properties of such a manifold. It is shown that a generalized pseudo quasi-Einstein manifold can be expressed as a product manifold. Also the existence of such a manifold is ensured by a proper example. 2000 Mathematics Subject Classification: 53B05, 53B50, 53C15, 53C25.

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Published

2010-06-16

Issue

Vol. 2 No. 2 (2011): Journal of Progressive Science

Section

Articles