Riemannian Manifolds Satisfying Certain Conditions on Pseudo-Projective Curvature Tensor

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Guler S., DEMIRBAG S. A.

FILOMAT, vol.30, no.3, pp.721-731, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603721g
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.721-731
  • Istanbul Technical University Affiliated: No

Abstract

In this paper we determine some properties of pseudo-projective curvature tensor denoted by (P) over bar 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.