Thick-skinned 3-manifolds
classification
🧮 math.GT
math.DG
keywords
boundarycollarcompactdependingdepthdiametergenusgeodesic
read the original abstract
We show that if the totally geodesic boundary of a compact hyperbolic 3-manifold M has a large collar of depth d, then the diameter of the skinning map of M is no more than A exp(-d) for some A depending only on the genus and injectivity radius of the boundary of M.
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