On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection

Authors : İnan ÜNAL

Pages : 167-172

Doi:10.32323/ujma.799576

View : 29 | Download : 18

Publication Date : 2020-12-23

Article Type : Research Paper

Abstract :In this study, we consider the $ Ninsert ignore into journalissuearticles values(k);- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ Ninsert ignore into journalissuearticles values(k);- $quasi-Einstein manifolds is parallel with respect to semi-symmetric metric connection and we classify such manifolds. In addition, we consider the submanifolds of a $ Ninsert ignore into journalissuearticles values(k);- $quasi Einstein manifold and we obtain some conditions on the totally geodesic and the totally umbilic submanifolds. Finally, we consider a para-Kenmotsu space form as an example of $ Ninsert ignore into journalissuearticles values(k);- $quasi-Einstein manifolds.
Keywords : N k, quasi Einstein manifolds, Totally geodesic, Totally umbilical, Para Kenmotsu