Concept

Riemann sphere

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Isospectral Riemann surfaces

We construct new examples of compact Riemann surfaces which are non isometric but have the same spectrum of the Laplacian. Examples are given for genus

g=5

and for all

gge 7

. In a second part we give examples of isospectral non isometric surfaces in $b ...

1986

Riemann sphere

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Metrics of constant curvature on a sphere with two conical singularities

The geometry and spectrum of the one holed torus

Isospectral Riemann surfaces

Metrics of constant curvature on a sphere with two conical singularities

Isospectral Riemann surfaces

The geometry and spectrum of the one holed torus