Certain Results on $N(k)-$Contact Metric Manifolds and Torse-Forming Vector Fields

Authors

  • Halil İbrahim Yoldaş

DOI:

https://doi.org/10.30495/jme.v0i0.1496

Abstract

In this paper, we study $N(k)-$contact metric manifolds endowed with a torse-forming vector field and give some characterizations for such manifolds. Then, we deal with $N(k)-$contact metric manifolds admitting a Ricci soliton and find that the potential vector field $V$ of the Ricci soliton is a constant multiple of $\xi$. Also, we obtain a necessary condition for a torse-forming vector field to be recurrent and Killing on $M$.

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Published

2020-11-26

Issue

Vol. 15

Section

Vol. 15, No. 3, (2021)

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