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

DOI10.1142/S1793525314500204zbMath1298.57016arXiv1311.5658MaRDI QIDQ2878775

Gangotryi Sorcar

Publication date: 5 September 2014

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5658

zbMATH Keywords

Teichmüller spacenegatively curved manifoldGromov-Thurston manifolds

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Isotopy and pseudo-isotopy (57N37) Geometric structures on manifolds of high or arbitrary dimension (57N16) Algebraic topology of manifolds (57N65) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (2)

On negatively curved bundles with hyperbolic fibers outside the Igusa stable range ⋮ Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible

Cites Work

• Teichmüller spaces and negatively curved fiber bundles
• Pinching constants for hyperbolic manifolds
• Hyperbolic manifolds with negatively curved exotic triangulations in dimension six
• The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible
• Deforming homotopy equivalences to homeomorphisms in aspherical manifolds
• Differential Topology

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