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Isospectral potentials on a surface of Genus 3

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Holomorphic Functions and Moduli I

Part of the book series: Mathematical Sciences Research Institute Publications ((MSRI,volume 10))

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Abstract

Let S be a compact Riemann surface, carrying a metric of constant curvature −1, and let Δ denote the Laplace-Beltrami operator on S.

This work was supported in part by NSF grant DMS-8501300 and an Alfred P. Sloan fellowship.

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References

  1. Brooks, R., On Manifolds of Negative Curvature with Isospectral Potentials, Topology 26 (1987), 63–66.

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© 1988 Springer-Verlag New York Inc.

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Brooks, R. (1988). Isospectral potentials on a surface of Genus 3. In: Drasin, D., Kra, I., Earle, C.J., Marden, A., Gehring, F.W. (eds) Holomorphic Functions and Moduli I. Mathematical Sciences Research Institute Publications, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9602-4_18

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  • DOI: https://doi.org/10.1007/978-1-4613-9602-4_18

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9604-8

  • Online ISBN: 978-1-4613-9602-4

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