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

Yıl 2020, Cilt: 3 Sayı: 4, 167 - 172, 23.12.2020

İnan Ünal

https://doi.org/10.32323/ujma.799576

Cited By: 2

Öz

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.

Anahtar Kelimeler

N(k)-quasi Einstein manifolds, Totally geodesic, Totally umbilical, Para-Kenmotsu

Kaynakça

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