Teichmüller spaces and negatively curved fiber bundles

DOI10.1007/s00039-010-0098-zzbMath1207.58013OpenAlexW1993103170MaRDI QIDQ616157

Pedro Ontaneda, Francis Thomas Farrell

Publication date: 7 January 2011

Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00039-010-0098-z

zbMATH Keywords

negative curvaturespace of Riemannian metricsbundle theoriespseudoisotopies

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Global Riemannian geometry, including pinching (53C20) General geometric structures on low-dimensional manifolds (57M50) Isotopy and pseudo-isotopy (57N37) Algebraic topology on manifolds and differential topology (57R19) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (9)

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 ⋮ The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible ⋮ 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 ⋮ Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers ⋮ Teichmüller space of negatively curved metrics on Gromov–Thurston manifolds is not contractible

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