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Negatively curved Einstein metrics on Gromov-Thurston manifolds
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classification
math.DG
keywords
curvedeinsteinmanifoldsmetricnegativelyadmitclosedconstruct
abstract
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.
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