The barycenter method on singular spaces

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.

33 pages

References in corpus (2)

• 3-manifolds with(out) metrics of nonpositive curvature
• Minimal volume Alexandrov spaces

Cited by in corpus (1)

• Busemann points of Artin groups of dihedral type