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