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- Title
EXISTENCE OF CONFORMAL RICCI SOLITON AND CHARACTERISTICS OF ALMOST CONFORMAL RICCI SOLITONS ON SASAKIAN MANIFOLD.
- Authors
Ganguly, Dipen; Basu, Nirabhra; Bhattacharyya, Arindam
- Abstract
In this paper, we have established the existence of conformal Ricci soliton as self similar solution of conformal Ricci flow and characterized the potential function f of almost conformal gradient Ricci soliton on a Sasakian manifold in terms of the non-dynamical scalar field p. We have found the necessary condition for the potential function f to be constant. Furthermore, a relation between λ 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 characterize it in terms of shrinking, steady or expanding soliton.
- Subjects
SASAKIAN manifolds; RICCI flow; SOLITONS; POTENTIAL flow; SCALAR field theory
- Publication
Journal of Mathematical Sciences, 2024, Vol 280, Issue 2, p146
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06673-x