a1 Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, Cambridge CB3 0WB. e-mail: email@example.com
a2 Department of Mathematics, Korea Institute for Advanced Study, Hoegiro 87, Dong-daemun-gu, Seoul 130-722, Korea. e-mail: firstname.lastname@example.org
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.
(Received August 02 2011)
(Revised February 14 2012)
(Online publication February 27 2012)
c1 Corresponding author