Isospectral surfaces of genus 2 and 3

Details Isospectral surfaces of genus 2 and 3 Isospectral surfaces of genus 2 and 3

2005-12-22

arxiv.org/abs/math/0512519v1

Mathematics

Differential Geometry

7 pages, 3 figures

Scientific paper

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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