Thick-skinned 3-manifolds

We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a collar of depth d ≫ 0 , then the diameter of the skinning map of M is no more than Ae − d for some A depending only on the genus and injectivity radius of ∂ M .

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Bibliographic Details
Published in:Geometric and functional analysis 2014-12, Vol.24 (6), p.1981-2001
Main Authors: Kent, Autumn E., Minsky, Yair N.
Format: Article
Language:English
Subjects:
Analysis
Diameters
Manifolds
Mathematics
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Description
Summary:We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a collar of depth d ≫ 0 , then the diameter of the skinning map of M is no more than Ae − d for some A depending only on the genus and injectivity radius of ∂ M .
ISSN:1016-443X
1420-8970
DOI:10.1007/s00039-014-0308-1