On some Classes of generalized quasi Einstein Manifolds

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Abstract

In the present paper, we investigate generalized quasi Einstein manifolds satisfying some special curvature conditions R S = 0, R S = LSQ(1,S), C S = 0, C S = 0, W S = 0 and W2 S = 0 where R,S,C,C, W and W2 respectively denote the Riemannian curvature tensor, Ricci tensor, conformal curvature tensor, concircular curvature tensor, quasi conformal curvature tensor and W2-curvature tensor. Later, we find some suffcient conditions for a generalized quasi Einstein manifold to be a quasi Einstein manifold and we show the existence of a nearly quasi Einstein manifolds, by constructing a non trivial example.

Original languageEnglish
Pages (from-to)443-456
Number of pages14
JournalFilomat
Volume29
Issue number3
DOIs
Publication statusPublished - 2015

Bibliographical note

Publisher Copyright:
© 2015, University of Nis. All Rights Reserved.

Keywords

  • Concircular curvature tensor
  • Conformal curvature tensor
  • Generalized quasi Einstein manifold
  • Quasi conformal curvature tensor
  • Ricci semi symmetric manifold
  • Ricci-pseudosymmetric manifold
  • W2-curvature tensor

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