Negatively curved Einstein metrics on Gromov-Thurston manifolds

Fuente: arXiv
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Main Authors: Hamenstädt, Ursula, Jäckel, Frieder
Format: Preprint
Published: 2024
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author Hamenstädt, Ursula
Jäckel, Frieder
author_facet Hamenstädt, Ursula
Jäckel, Frieder
contents For every $n\geq 4$ we construct infinitely many mutually not homotopic closed manifolds of dimension $n$ which admit a negatively curved Einstein metric but no locally symmetric metric.
format Preprint
id arxiv_https___arxiv_org_abs_2411_12956
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Negatively curved Einstein metrics on Gromov-Thurston manifolds
Hamenstädt, Ursula
Jäckel, Frieder
Differential Geometry
53C25, 53C21, 22E40
For every $n\geq 4$ we construct infinitely many mutually not homotopic closed manifolds of dimension $n$ which admit a negatively curved Einstein metric but no locally symmetric metric.
title Negatively curved Einstein metrics on Gromov-Thurston manifolds
topic Differential Geometry
53C25, 53C21, 22E40
url https://arxiv.org/abs/2411.12956