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Characteristics of almost conformal Ricci solitons on Sasakian manifold
- Publication Year :
- 2021
-
Abstract
- In this paper, we characterize the potential function $f$ of the almost conformal gradient Ricci soliton on a Sasakian manifold in terms of the non-dynamical scalar field $p$ and deduce the necessary condition for the potential function $f$ to be constant. Furthermore, a relation between $\lambda$ and the potential function $f$ has been established. Finally, we prove a sufficient condition for an almost conformal Ricci soliton to be an almost conformal gradient Ricci soliton and also a characterization of the soliton in terms of shrinking, steady or expanding has been done.<br />Comment: 12 pages
- Subjects :
- Mathematics - Differential Geometry
Mathematical Physics
53C44, 53C25, 53D10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2104.04801
- Document Type :
- Working Paper