Boletim da Sociedade Paranaense de Matemática (Oct 2020)
Existence of some classes of N(k)-quasi Einstein manifolds
Abstract
The object of the present paper is to study some classes of N(k)-quasi Einstein manifolds. The existence of such manifolds are proved by giving non-trivial physical and geometrical examples. It is also proved that the characteristic vector field of the manifold is killing as well as parallel unit vector fields under certain curvature restrictions.