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  Compactness of relatively isospectral sets of surfaces via conformal surgeries

Albin, P., Aldana, C. L., & Rochon, F. (2015). Compactness of relatively isospectral sets of surfaces via conformal surgeries. Journal of Geometric Analysis, 25(2), 1185-1210. doi:10.1007/s12220-013-9463-0.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-A8A0-B Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0026-BA2A-0
Genre: Journal Article

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1206.6077 (Preprint), 536KB
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 Creators:
Albin, Pierre, Author
Aldana, Clara Lucia1, Author           
Rochon, Frédéric, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Differential Geometry, math.DG,Mathematics, Spectral Theory, math.SP,
 Abstract: 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.

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 Dates: 2012-06-262013-11-172015
 Publication Status: Issued
 Pages: 22 pages, 3 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1206.6077
DOI: 10.1007/s12220-013-9463-0
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Title: Journal of Geometric Analysis
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 25 (2) Sequence Number: - Start / End Page: 1185 - 1210 Identifier: CoNE: https://pure.mpg.de/cone/journals/resource/954926996194