Teichmüller space of negatively curved metrics on Gromov Thurston Manifolds is not contractible

Teichmüller 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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Veröffentlicht in:arXiv.org 2013-11
1. Verfasser: Sorcar, Gangotryi
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Isomorphism
Manifolds (mathematics)
Riemann manifold
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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}^{
ISSN:2331-8422