- Universal Journal of Mathematics and Applications
- Vol: 3 Issue: 4
- On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection
On Submanifolds of $N(k)$-Quasi Einstein Manifolds with a Type of Semi-Symmetric Metric Connection
Authors : Inan Ünal
Pages : 167-172
Doi:10.32323/ujma.799576
View : 11 | Download : 21
Publication Date : 2020-12-23
Article Type : Research
Abstract :In this study, we consider the $ N(k)- $quasi Einstein manifolds with respect to a type of semi-symmetric metric connection. We suppose that the generator of $ N(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 $ N(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 $ N(k)- $quasi-Einstein manifolds.Keywords : N(k)-quasi Einstein manifolds, Totally geodesic, Totally umbilical, Para-Kenmotsu