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arXiv · 1205.6316

Spectral properties of bipolar surfaces to Otsuki tori

Mikhail A. Karpukhin
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Abstract

The $i$-th eigenvalue $\lambda_i$ 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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Mikhail A. Karpukhin. 2012-05-29. Spectral properties of bipolar surfaces to Otsuki tori. https://arxiv.org/abs/1205.6316

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