[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.
Disciplines :
Mathematics
Author, co-author :
Aldana Dominguez, Clara Lucia ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Albin, Pierre
Rochon, Frédéric
External co-authors :
yes
Language :
English
Title :
Compactness of Relatively Isospectral Sets of Surfaces Via Conformal Surgeries
Publication date :
April 2015
Journal title :
Journal of Geometric Analysis
ISSN :
1559-002X
Publisher :
Springer New York LLC, New York, United States - New York
