Teichm\"uller space of negatively curved metrics on Gromov Thurston Manifolds is not contractible

In this paper we prove that for all $n=4k-2$, $k\ge2$ there exists closed $n$-dimensional Riemannian manifolds $M$ with negative sectional curvature that do not have the homotopy type of a locally symmetric space, such that $\pi_{1}(\mathcal{T}^{

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1. Verfasser: Sorcar, Gangotryi
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Sprache:eng
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Zusammenfassung:In this paper we prove that for all $n=4k-2$, $k\ge2$ there exists closed $n$-dimensional Riemannian manifolds $M$ with negative sectional curvature that do not have the homotopy type of a locally symmetric space, such that $\pi_{1}(\mathcal{T}^{
DOI:10.48550/arxiv.1311.5658