Ricci ρ-solitons on 3-dimensional η-Einstein almost Kenmotsu mandifolds

2019/02/20 by Azami, Sh., Fasihi-Ramandi, Gh.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.08176

Abstract

In this paper the notion of Ricci ρ-soliton as a generalization of Ricci soliton is defined. We are motivated by the Ricci-Bourguignon flow to define this concept. We show that if a 3- dimensional almost Kenmotsu Einstein manifold M be a ρ-soliton, then M is a Kenmotsu manifold of constant sectional curvature -1 and the ρ-soliton is expanding, with λ=2.

Related

• Analysis of a special type of soliton on Kenmotsu manifolds
• Almost η-Ricci solitons on Kenmotsu manifolds
• Back to almost Ricci solitons
• η-Ricci solitons on para-Kenmotsu manifolds
• Geometric solitons in a D-homothetically deformed Kenmotsu manifold