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

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	Some conformal vector fields and conformal Ricci solitons on $N(k)$-contact metric manifolds
AUT Journal of Mathematics and Computing
مقاله 8، دوره 2، شماره 1، اردیبهشت 2021، صفحه 61-71 اصل مقاله (309.15 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22060/ajmc.2021.19220.1043
نویسندگان
Uday Chand De¹؛ Arpan Sardar¹؛ Avijit Sarkar^* ²
¹Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata 700019, West Bengal, India
²Department of Mathematics, University of Kalyani, Kalyani 741235, Nadia, West Bengal, India
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

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