*-Ricci Solitons on Three-dimensional Normal Almost Contact Metric Manifolds
- Authors: Mandal K.1, Makhal S.2
-
Affiliations:
- Department of Mathematics
- Government Model School
- Issue: Vol 40, No 2 (2019)
- Pages: 189-194
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203933
- DOI: https://doi.org/10.1134/S1995080219020100
- ID: 203933
Cite item
Abstract
The purpose of the paper is to study *-Ricci solitons and *-gradient Ricci solitons on three-dimensional normal almost contact metric manifolds. First, we prove that if a non-cosymplectic normal almost contact metric manifold with α, β = constant of dimension three admits a *-Ricci soliton, then the manifold is *-Ricci flat, provided β ≠ 0 and α ≠ ±β. Further, we prove that if a normal almost contact metric manifold with α, β = constant, of dimension three admits *-gradient Ricci soliton, then the manifold is *-Einstein, provided α2 − β2 ≠ 0.
About the authors
K. Mandal
Department of Mathematics
Author for correspondence.
Email: krishanu.mandal013@gmail.com
India, EM 4/1, Sector-V, Saltlake, West Bengal, Kolkata, 700 091
S. Makhal
Government Model School
Author for correspondence.
Email: sou.pmath@gmail.com
India, Sitalkuchi, Nagar Lalbazar, West Bengal, Coochbehar, 736158