Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries

Reference : Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/26566

Title :	Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries
Language :	English
Author, co-author :	Aldana Dominguez, Clara Lucia [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
	Albin, Pierre [> >]
	Rochon, Frédéric [> >]
Publication date :	Apr-2015
Journal title :	Journal of Geometric Analysis
Publisher :	Springer New York LLC
Volume :	25
Issue/season :	2
Pages :	1185-1210
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	1050-6926
e-ISSN :	1559-002X
City :	New York
Country :	NY
Keywords :	[en] Inverse spectral problem ; Analytic surgery ; Hyperbolic cusps ; Hyperbolic funnels ; Relatively isospectral
Abstract :	[en] We introduce a notion of relative isospectrality for surfaces with boundary having possibly non-compact ends either conformally compact or asymptotic to cusps. We obtain a compactness result for such families via a conformal surgery that allows us to reduce to the case of surfaces hyperbolic near infinity recently studied by Borthwick and Perry, or to the closed case by Osgood, Phillips, and Sarnak if there are only cusps.
Permalink :	http://hdl.handle.net/10993/26566
DOI :	10.1007/s12220-013-9463-0

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Open access	Clara L. Aldana,Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries.pdf		Author postprint	453.67 kB	View/Open

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