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Isospectral surfaces of genus two and three

Published online by Cambridge University Press:  27 February 2012

DENNIS BARDEN  and
HYUNSUK KANG
DENNIS BARDEN
Affiliation:
Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Cambridge CB3 0WB. e-mail: [email protected]
HYUNSUK KANG*
Affiliation:
Department of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dong-daemun-gu, Seoul 130-722, Korea. e-mail: [email protected]
*
Corresponding author
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Abstract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 153 , Issue 1 , July 2012 , pp. 99 - 110
Copyright
Copyright © Cambridge Philosophical Society 2012

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