2025/05/04 by Abdoulaye Bousso, Bousso, Abdou, Ameth Ndiaye +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
paper · pdf · doi:10.48550/arxiv.2505.02145
openalex publication_date 2025/05/04 · openalex created_date 2025/10/15 · openalex updated_date 2026/07/28
In this paper, we characterize the Ricci soliton equations on the Poincaré upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincaré and after we generalize those equations in ℍn. We obtain some nice properties of the soliton about their geodesic flows.