Study of Kenmotsu manifolds with semi-symmetric metric connection

The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of $\eta-$parallel Ricci tensor, globally symmetric and $\phi-$symmetric Kenmotsu manifolds with the semi-symmetric metric connection are evaluated. In the end, we construct...

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Hlavní autoři: Sudhakar Chaubey, Sunil Kr Yadav
Médium: Článek
Jazyk:English
Vydáno: Emrah Evren KARA 2018-06-01
Edice:Universal Journal of Mathematics and Applications
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On-line přístup:https://dergipark.org.tr/tr/download/article-file/495124
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Shrnutí:The present paper deals with the study of Kenmotsu manifolds equipped with a semi-symmetric metric connection. The properties of $\eta-$parallel Ricci tensor, globally symmetric and $\phi-$symmetric Kenmotsu manifolds with the semi-symmetric metric connection are evaluated. In the end, we construct an example of a $3-$dimensional Kenmotsu manifold admitting semi-symmetric metric connection and verify our some results.
ISSN:2619-9653