The dual volume of quasiFuchsian manifolds and the WeilPetersson distance
Abstract
Making use of the dual BonahonSchläfli formula, we prove that the dual volume of the convex core of a quasiFuchsian manifold $M$ is bounded by an explicit constant, depending only on the topology of $M$, times the WeilPetersson distance between the hyperbolic structures on the upper and lower boundary components of the convex core of $M$.
 Publication:

arXiv eprints
 Pub Date:
 July 2019
 arXiv:
 arXiv:1907.04754
 Bibcode:
 2019arXiv190704754M
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Geometric Topology
 EPrint:
 Expanded proof of former Proposition 4.3 (now 4.4), added Lemma 4.3