The moduli space of negatively curved metrics of a hyperbolic manifold

DOI10.1112/jtopol/jtq016zbMath1201.58007arXiv0805.2635OpenAlexW3102031786MaRDI QIDQ4930549

Pedro Ontaneda, Francis Thomas Farrell

Publication date: 29 September 2010

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

Full work available at URL: https://arxiv.org/abs/0805.2635

zbMATH Keywords

moduli spacehyperbolic manifoldsmanifolds of metricsnegatively curved metrics

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Global Riemannian geometry, including pinching (53C20) Isotopy and pseudo-isotopy (57N37) Algebraic topology on manifolds and differential topology (57R19) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (8)

On the Farrell and Jones warping deformation ⋮ Spaces and moduli spaces of Riemannian metrics ⋮ The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible ⋮ Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds ⋮ Cross curvature flow on a negatively curved solid torus ⋮ $C^k$-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

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