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Einstein metrics in Gromov Thurston manifolds

Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis August 21, 2024 - August 23, 2024

August 23, 2024 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): Ursula Hamenstaedt (Rheinische Friedrich-Wilhelms-Universität Bonn)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract

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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.

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