English

Ricci Solitons on the Poincar\'e upper half plane

Differential Geometry 2025-05-16 v2

Abstract

In this paper, we characterize the Ricci soliton equations on the Poincar\'e upper half plane . First we classify all Ricci soliton and Ricci Bourguignon soliton in the half plane of Poincar\'e and after we generalize those equations in Hn\mathbb{H}^n. We obtain some nice properties of the soliton about their geodesic flows.

Keywords

Cite

@article{arxiv.2505.02145,
  title  = {Ricci Solitons on the Poincar\'e upper half plane},
  author = {Abdou Bousso and Ameth Ndiaye},
  journal= {arXiv preprint arXiv:2505.02145},
  year   = {2025}
}
R2 v1 2026-06-28T23:20:41.466Z