Study of Kenmotsu manifolds with semi-symmetric metric connection

Sudhakar Chaubey; Sunil Kr Yadav

doi:10.32323/ujma.427238

EN

Study of Kenmotsu manifolds with semi-symmetric metric connection

Abstract

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.

Keywords

Kenmotsu manifold,$\eta-$parallel Ricci tensor,Codazzi type,cyclic parallel Ricci tensors,symmetric spaces,semi-symmetric metric connection

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sudhakar Chaubey ^*
Oman

Sunil Kr Yadav
India

Publication Date

June 26, 2018

Submission Date

May 25, 2018

Acceptance Date

June 20, 2018

Published in Issue

Year 2018 Volume: 1 Number: 2

DOI

https://doi.org/10.32323/ujma.427238

IZ

https://izlik.org/JA24JA89LP

APA

Chaubey, S., & Yadav, S. K. (2018). Study of Kenmotsu manifolds with semi-symmetric metric connection. Universal Journal of Mathematics and Applications, 1(2), 89-97. https://doi.org/10.32323/ujma.427238

AMA

1.Chaubey S, Yadav SK. Study of Kenmotsu manifolds with semi-symmetric metric connection. Univ. J. Math. Appl. 2018;1(2):89-97. doi:10.32323/ujma.427238

Chicago

Chaubey, Sudhakar, and Sunil Kr Yadav. 2018. “Study of Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Universal Journal of Mathematics and Applications 1 (2): 89-97. https://doi.org/10.32323/ujma.427238.

EndNote

Chaubey S, Yadav SK (June 1, 2018) Study of Kenmotsu manifolds with semi-symmetric metric connection. Universal Journal of Mathematics and Applications 1 2 89–97.

IEEE

[1]S. Chaubey and S. K. Yadav, “Study of Kenmotsu manifolds with semi-symmetric metric connection”, Univ. J. Math. Appl., vol. 1, no. 2, pp. 89–97, June 2018, doi: 10.32323/ujma.427238.

ISNAD

Chaubey, Sudhakar - Yadav, Sunil Kr. “Study of Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Universal Journal of Mathematics and Applications 1/2 (June 1, 2018): 89-97. https://doi.org/10.32323/ujma.427238.

JAMA

1.Chaubey S, Yadav SK. Study of Kenmotsu manifolds with semi-symmetric metric connection. Univ. J. Math. Appl. 2018;1:89–97.

MLA

Chaubey, Sudhakar, and Sunil Kr Yadav. “Study of Kenmotsu Manifolds With Semi-Symmetric Metric Connection”. Universal Journal of Mathematics and Applications, vol. 1, no. 2, June 2018, pp. 89-97, doi:10.32323/ujma.427238.

Vancouver

1.Sudhakar Chaubey, Sunil Kr Yadav. Study of Kenmotsu manifolds with semi-symmetric metric connection. Univ. J. Math. Appl. 2018 Jun. 1;1(2):89-97. doi:10.32323/ujma.427238