Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 2 1 2021 02 01 Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds 61 71 4246 10.22060/ajmc.2021.19220.1043 EN Uday Chand De Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India Arpan Sardar Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India Avijit Sarkar Department of Mathematics, University of Kalyani, Kalyani 741235, Nadia, West Bengal, India Journal Article 2020 11 05 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. $N(k)$-Contact metric manifolds $\phi$-Holomorphic planar conformal vector fields conformal vector fields conformal Ricci solitons https://ajmc.aut.ac.ir/article_4246_69295f5f6bd7d1a08da4919b5bb95bff.pdf