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

نویسندگان
De, Uday Chand ID 1
Sardar, Arpan ID 2
Sarkar, Avijit ID 3

1 Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India

2 Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India

3 Department of Mathematics, University of Kalyani, Kalyani 741235, Nadia, West Bengal, India

doi
10.22060/ajmc.2021.19220.1043
چکیده

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.

کلیدواژه‌ها
$N(k)$-Contact metric manifolds, $\phi$-Holomorphic planar conformal vector fields, conformal vector fields, conformal Ricci solitons