Isospectral surfaces of genus two and three

Isospectral surfaces of genus two and three

We give examples of isospectral non-isometric surfaces of genus two and three with variable curvature, as well as hyperbolic orbifolds of genus two. We apply the first result to construct isospectral potentials on a Riemann surface of genus two.

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Veröffentlicht in:Mathematical proceedings of the Cambridge Philosophical Society 2012-07, Vol.153 (1), p.99-110
Hauptverfasser: BARDEN, DENNIS, KANG, HYUNSUK
Format: Artikel
Sprache:eng
Schlagworte:
Construction
Curvature
Mathematical analysis
Riemann surfaces
Theorems
Topological manifolds
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Beschreibung
Zusammenfassung:We give examples of isospectral non-isometric surfaces of genus two and three with variable curvature, as well as hyperbolic orbifolds of genus two. We apply the first result to construct isospectral potentials on a Riemann surface of genus two.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004112000126