Complete gradient Einstein-type Sasakian manifolds with α = 0
Abstract
Abstract Catino et al. have launched an ambitious programme to study known geometric solitons from a unified perspective, which they term Einstein-type manifolds. This framework allows one to treat Ricci solitons, Yamabe solitons and all of their generalizations simultaneously. Einstein-type manifolds are characterized by four constants α, β, μ and ρ. In this paper, we show that when α=0, complete gradient Einstein-type Sasakian manifolds are trivial or isometric to the unit sphere. Moreover, we obtain an explicit expression for the potential function.
Fields of Study & Subjects
Advanced Differential Geometry Research
Geometric Analysis and Curvature Flows
Geometry and complex manifolds
Publication details
- Journal / source
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Volume
- 482
- Issue
- 2332
- Publication date
- 15 February 2026
- Language
- EN