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.

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Main Subjects