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 language | English |
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Pages (from-to) | 721-731 |
Number of pages | 11 |
Journal | Filomat |
Volume | 30 |
Issue number | 3 |
DOIs | |
Publication status | Published - 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