Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds

Abstract

The target of this paper is to study $N(k)$-contact metric manifolds with some types of conformal vector fields like $\phi$-holomorphic planar conformal vector fields and Ricci biconformal vector fields. We also characterize $N(k)$-contact metric manifolds allowing conformal Ricci almost soliton. Obtained results are supported by examples.

Keywords

• $n(k)$-contact metric manifolds
• $\phi$-holomorphic planar conformal vector fields
• conformal vector fields
• conformal ricci solitons