The Teichmüller Space of Pinched Negatively Curved Metrics on a Hyperbolic Manifold is not Contractible

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dc.creatorFarrell, F. T.
dc.creatorOntaneda, P.
dc.date2004-06-07
dc.date2006-07-19
dc.date.accessioned2026-07-07T06:36:50Z
dc.date.available2026-07-07T06:36:50Z
dc.descriptionFor a smooth manifold $M$ we define the Teichmüller space $\cT(M)$ of all Riemannian metrics on $M$ and the Teichmüller space $\cT^ε(M)$ of $ε$-pinched negatively curved metrics on $M$, where $0\leqε\leq\infty$. We prove that if $M$ is hyperbolic the natural inclusion $\cT^ε(M)\hookrightarrow\cT(M)$ is, in general, not homotopically trivial. In particular, $\cT^ε(M)$ is, in general, not contractible.
dc.identifierhttps://arxiv.org/abs/math/0406132
dc.identifierhttp://arxiv.org/abs/math/0406132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100216
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleThe Teichmüller Space of Pinched Negatively Curved Metrics on a Hyperbolic Manifold is not Contractible
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