The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance

Reference : The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance


	Document type :	E-prints/Working papers : First made available on ORBilu
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/39880

Title :	The dual volume of quasi-Fuchsian manifolds and the Weil-Petersson distance
Language :	English
Author, co-author :	Mazzoli, Filippo [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	10-Jul-2019
Number of pages :	22
Peer reviewed :	No
Keywords :	[en] dual volume ; Weil-Petersson distance ; quasi-Fuchsian manifolds
Abstract :	[en] Making use of the dual Bonahon-Schläfli formula, we prove that the dual volume of the convex core of a quasi-Fuchsian manifold M is bounded by an explicit constant, depending only on the topology of M, times the Weil-Petersson distance between the hyperbolic structures on the upper and lower boundary components of the convex core of M.
Permalink :	http://hdl.handle.net/10993/39880
FnR project :	FnR ; FNR10949314 > Gabor Wiese > GSM > Geometric and Stochastic Methods in Mathematics and Applications > 01/10/2016 > 31/03/2023 > 2016

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