Volume change under drilling
Abstract
Given a hyperbolic 3manifold 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 3manifold has volume >.32 .
 Publication:

arXiv Mathematics eprints
 Pub Date:
 January 2001
 arXiv:
 arXiv:math/0101138
 Bibcode:
 2001math......1138A
 Keywords:

 Mathematics  Geometric Topology;
 Mathematics  Differential Geometry;
 57M50;
 53C15;
 53C22
 EPrint:
 Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol6/paper27.abs.html