The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible

DOI10.4007/annals.2009.170.45zbMath1171.58003arXivmath/0406132OpenAlexW2042185944MaRDI QIDQ2389210

Pedro Ontaneda, Francis Thomas Farrell

Publication date: 15 July 2009

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406132

zbMATH Keywords

Teichmüller spacemoduli spacenegatively curved manifold

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) General geometric structures on low-dimensional manifolds (57M50)

Related Items

On negatively curved bundles with hyperbolic fibers outside the Igusa stable range, On bundles that admit fiberwise hyperbolic dynamics, On the Farrell and Jones warping deformation, Spaces and moduli spaces of Riemannian metrics, Teichmüller spaces and negatively curved fiber bundles, Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds, Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible, $C^k$-quasi-isometry sets are pre-compact, Connectedness properties of the space of complete nonnegatively curved planes, On the topology of moduli spaces of non-negatively curved Riemannian metrics, Sphere bundles with 1/4-pinched fiberwise metrics, Teichmüller space of negatively curved metrics on Gromov–Thurston manifolds is not contractible

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