Negatively curved Einstein metrics on Gromov-Thurston manifolds
Differential Geometry
2025-01-22 v2
Abstract
For every we construct infinitely many mutually not homotopic closed manifolds of dimension which admit a negatively curved Einstein metric but no locally symmetric metric.
Keywords
Cite
@article{arxiv.2411.12956,
title = {Negatively curved Einstein metrics on Gromov-Thurston manifolds},
author = {Ursula Hamenstädt and Frieder Jäckel},
journal= {arXiv preprint arXiv:2411.12956},
year = {2025}
}
Comments
29 pages, 1 figure. Version 2: Minor corrections in Sections 1-4, and Section 5 was rewritten for forthcoming work