Spectra of unit tangent bundles of compact hyperbolic Riemann surfaces
type: Item
instance of: scholarly article
title: Spectra of unit tangent bundles of compact hyperbolic Riemann surfaces
zbMATH Open document ID: 0912.30026
DOI: 10.1023/A:1006559507739
author: Marcos Salvai
published in: Annals of Global Analysis and Geometry
publication date: 1998-09-01T00:00:00Z
review text: Let \(S\) be a hyperbolic Riemann surface. Then both it and its unit tangent bundle \(T^1S\) are Riemannian manifolds. It has been known for a long time that two surfaces \(S_1,S_2\) are isospectral if and only if the length spectra coincide; this is a consequence of the Selberg trace formula. The authors shows here, using similar methods, that these also hold if the two corresponding properties hold for \(T^1S_1\) and \(T^S_2\).
Mathematics Subject Classification ID: 30F45
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 58J50
zbMATH DE Number: 1195518
zbMATH Keywords: isospectral
zbMATH Keywords: Riemann surface
zbMATH Keywords: Selberg trace formula
reviewed by: Samuel James Patterson
MaRDI profile type: Publication
full work available at URL: a:1006559507739
OpenAlex ID: W48871219
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description: scientific article; zbMATH DE number 1195518