Isospectral surfaces of genus 2 and 3

We give examples of isospectral non-isometric surfaces of genus 2 and 3 with variable curvatures and apply the result to construct isospectral potentials on Riemann surfaces of genus 2.

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description We give examples of isospectral non-isometric surfaces of genus 2 and 3 with variable curvatures and apply the result to construct isospectral potentials on Riemann surfaces of genus 2.
doi_str_mv 10.48550/arxiv.math/0512519
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title Isospectral surfaces of genus 2 and 3
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