$C^k$-quasi-isometry sets are pre-compact

DOI10.1090/S0002-9939-09-10132-6zbMath1186.58001OpenAlexW2020460423MaRDI QIDQ5189197

Pedro Ontaneda, Francis Thomas Farrell

Publication date: 8 March 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10132-6

zbMATH Keywords

pre-compact sets\(C^k\)-quasi-isometry sets\(C^k\)-self maps\(C^k\)-self-diffeomorphisms\(C^k\)-topology

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group actions and symmetry properties (58D19) Differentiable manifolds, foundations (58A05) Manifolds of metrics (especially Riemannian) (58D17)

Cites Work

• On the topology of the space of negatively curved metrics
• Teichmüller spaces and negatively curved fiber bundles
• The Teichmüller space of pinched negatively curved metrics on a hyperbolic manifold is not contractible
• The group of isometries of a Riemannian manifold
• Morse Theory. (AM-51)
• The moduli space of negatively curved metrics of a hyperbolic manifold
• Unnamed Item

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