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

De, Uday Chand; Sardar, Arpan; Sarkar, Avijit

doi:10.22060/ajmc.2021.19220.1043

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

Document Type : Original Article

Authors

¹ Department of Pure Mathematics, Faculty of Science, University of Calcutta, Kolkata, India

² Department of Mathematics, Faculty of Science, University of Kalyani, West Bengal, India

³ Department of Mathematics, Faculty of Science, University of Kalyani, West Bengal

10.22060/ajmc.2021.19220.1043

Abstract

Abstract. The target of this paper is to study N(k)-contact metric manifolds
with some types of conformal vector fields like φ-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

Main Subjects