Geometric study of non-constant vector fields making hyperbolic space Ricci-Bourguignon solitons
Differential Geometry
2025-10-15 v1
Abstract
The objective of this paper is to deepen the study of vector fields on hyperbolic spaces that transform them into a Ricci-Bourguignon soliton. Starting from a recent work in \cite{bousso2025ricci} which characterizes these fields as Killing fields of a specific shape, we propose a detailed geometric study of their structure and behavior in the dimensions and . In odd dimension we show that the dual form of these vectors are contact forms. This work aims to enrich the understanding of self-similar solutions of the Ricci flow in a more general context.
Cite
@article{arxiv.2510.12745,
title = {Geometric study of non-constant vector fields making hyperbolic space Ricci-Bourguignon solitons},
author = {Mafal Ndiaye Diop and Abdou Bousso and Cheikh Khoule and Ameth Ndiaye},
journal= {arXiv preprint arXiv:2510.12745},
year = {2025}
}