The barycenter method on singular spaces
Geometric Topology
2009-03-05 v3
Abstract
Bonahon conjectured that compact convex cores with totally geodesic boundary uniquely minimize volume over all hyperbolic 3-manifolds in the same homotopy class. This paper proves Bonahon's conjecture. The proofs extend the techniques of Besson-Courtois-Gallot.
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Cite
@article{arxiv.math/0301087,
title = {The barycenter method on singular spaces},
author = {Peter A. Storm},
journal= {arXiv preprint arXiv:math/0301087},
year = {2009}
}
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33 pages