On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons
Differential Geometry
2022-03-29 v1
Abstract
In this article, we investigate the geometry of -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential function, a -dimensional compact gradient Ricci soliton must satisfy the classical Hitchin-Thorpe inequality. In addition, some volume estimates are also obtained.
Keywords
Cite
@article{arxiv.2203.14916,
title = {On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons},
author = {Xu Cheng and Ernani Ribeiro and Detang Zhou},
journal= {arXiv preprint arXiv:2203.14916},
year = {2022}
}