Einstein metrics in Gromov Thurston manifolds
Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis August 21, 2024 - August 23, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
We show that for every $n\geq 4$ and every $\epsilon >0$ there exists a closed manifold $M$ which admits a metric of curvature contained in the interval $[-1-\epsilon,-1+\epsilon]$, which admits a negatively curved Einstein metric but no metric of constant curvature.