arXiv:math/0101138 Abstract

arXiv:math/0101138 [math.GT]Abstract References Reviews Resources

Volume change under drilling

Published 2001-01-17, updated 2003-01-11Version 4

Given a hyperbolic 3-manifold M containing an embedded closed geodesic, we estimate the volume of a complete hyperbolic metric on the complement of the geodesic in terms of the geometry of M. As a corollary, we show that the smallest volume orientable hyperbolic 3-manifold has volume >.32 .

Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper27.abs.html

Journal: Geom. Topol. 6(2002) 905-916

Categories: math.GT, math.DG

Subjects: 57M50, 53C15, 53C22

Keywords: volume change, smallest volume orientable hyperbolic, complete hyperbolic metric, complement, embedded closed geodesic

Tags: journal article

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