Riemannian manifolds satisfying certain conditions on pseudo-projective curvature tensor
Keyword(s):
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.
2018 ◽
Vol 15
(09)
◽
pp. 1850157
◽
2020 ◽
Vol 32
(9)
◽
pp. 100-110
2012 ◽
Vol 2012
◽
pp. 1-24
◽
Keyword(s):
2017 ◽
Vol 28
(01)
◽
pp. 1750005
◽
1964 ◽
Vol 4
(1)
◽
pp. 113-121
◽
2014 ◽
Vol 2
(1)
◽
pp. 99-105