Riemannian Manifolds Satisfying Certain Conditions on Pseudo-Projective Curvature Tensor


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Guler S. , DEMIRBAG S. A.

FILOMAT, cilt.30, ss.721-731, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 30 Konu: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603721g
  • Dergi Adı: FILOMAT
  • Sayfa Sayıları: ss.721-731

Özet

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.