Riemannian manifolds satisfying certain conditions on pseudo-projective curvature tensor

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Abstract

In this paper we determine some properties of pseudo-projective curvature tensor denoted by P on some Riemannian manifolds, especially on generalized quasi Einstein manifolds in the sense of Chaki. Firstly, we consider a pseudo-projectively Ricci semisymmetric generalized quasi Einstein manifold. After that, we study pseudo-projective flatness of this manifold. Moreover, we construct a non-trivial example for a generalized quasi Einstein manifold to prove the existence.

Original languageEnglish
Pages (from-to)721-731
Number of pages11
JournalFilomat
Volume30
Issue number3
DOIs
Publication statusPublished - 2016

Bibliographical note

Publisher Copyright:
© 2016, University of Nis. All rights reserved.

Keywords

  • Generalized quasi Einstein manifold
  • N(k)-quasi Einstein manifold
  • Pseudo-projective curvature tensor
  • Quasi Einstein manifold

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