Spectral properties of bipolar surfaces to Otsuki tori
Abstract
The i-th eigenvalue λi of the Laplace-Beltrami operator on a surface can be considered as a functional on the space of all Riemannian metrics of unit volume on this surface. Surprisingly only few examples of extremal metrics for these functionals are known. In the present paper a new countable family of extremal metrics on the torus is provided.
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