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Large embedded balls and
Heegaard genus in negative curvature
David Bachman, Daryl Cooper and Matthew E White |
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Algebraic & Geometric Topology 4 (2004) 31–47
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arXiv: math.GT/0305290 |
Abstract |
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We show if is a closed, connected, orientable, hyperbolic 3-manifold with Heegaard genus then where denotes the radius of any isometrically embedded ball in . Assuming an unpublished result of Pitts and Rubinstein improves this to We also give an upper bound on the volume in terms of the flip distance of a Heegaard splitting, and describe isoperimetric surfaces in hyperbolic balls. |
Keywords
Heegaard splitting, injectivity radius
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Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 57M27, 57N16
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References |
Forward citations |
Publication
Received: 30 May 2003
Revised: 21 August 2003
Accepted: 29 August 2003
Published: 24 January 2004
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Authors |
| David Bachman | |
| Mathematics Department Cal Poly State University San Luis Obispo CA 93407 USA |
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| Daryl Cooper | |
| Mathematics Department University of California Santa Barbara CA 93106 USA |
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| Matthew E White | |
| Mathematics Department Cal Poly State University San Luis Obispo CA 93407 USA |
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