Isospectral hyperbolic surfaces have matching geodesics

zbMath1146.58026arXivmath/0605765MaRDI QIDQ929285

Juan Pablo Rossetti, Peter G. Doyle

Publication date: 16 June 2008

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605765

zbMATH Keywords

Selberg trace formulaclosed geodesicisospectralityhyperbolic surfaceprime geodesic theoremflat orbifoldholonomy conjugate

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Hyperbolic groups and nonpositively curved groups (20F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Isospectrality (58J53)

Related Items (7)

Approximating orbifold spectra using collapsing connected sums ⋮ Small isospectral and nonisometric orbifolds of dimension 2 and 3 ⋮ Isospectral orbifolds with different maximal isotropy orders ⋮ Orbifold lens spaces that are isospectral but not isometric ⋮ Asymptotic expansion of the heat kernel for orbifolds ⋮ Isospectrality for Orbifold Lens Spaces ⋮ One can't hear orientability of surfaces

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