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- W2952121360 abstract "This paper introduces a rigorous computer-assisted procedure for analyzing hyperbolic 3-manifolds. This technique is used to complete the proof of several long-standing rigidity conjectures in 3-manifold theory as well as to provide a new lower bound for the volume of a closed orientable hyperbolic 3-manifold. We prove the following result: itnoindent Let $N$ be a closed hyperbolic 3-manifold. Then begin{enumerate} item[(1)] If $fcolon M to N$ is a homotopy equivalence where $M$ is a closed irreducible 3-manifold, then $f$ is homotopic to a homeomorphism. item[(2)] If $f,gcolon Mto N$ are homotopic homeomorphisms, then $f$ is isotopic to $g$. item[(3)] The space of hyperbolic metrics on $N$ is path connected. end{enumerate}" @default.
- W2952121360 created "2019-06-27" @default.
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- W2952121360 date "1996-09-13" @default.
- W2952121360 modified "2023-09-23" @default.
- W2952121360 title "Homotopy Hyperbolic 3-Manifolds are Hyperbolic" @default.
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