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Spectral properties of bipolar surfaces to Otsuki tori

Karpukhin, Mikhail; (2014) Spectral properties of bipolar surfaces to Otsuki tori. Journal of Spectral Theory , 4 (1) pp. 87-111. 10.4171/jst/63. Green open access

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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.

Type: Article
Title: Spectral properties of bipolar surfaces to Otsuki tori
Open access status: An open access version is available from UCL Discovery
DOI: 10.4171/jst/63
Publisher version: https://doi.org/10.4171/jst/63
Language: English
Additional information: This version is the author-accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Otsuki tori, extremal metric, bipolar surface.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10201288
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