Karpukhin, MA;
(2013)
Nonmaximality of known extremal metrics on torus and Klein bottle.
Sbornik: Mathematics
, 204
(12)
pp. 1728-1744.
10.1070/SM2013v204n12ABEH004358.
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Abstract
The El Soufi-Ilias theorem establishes a connection between minimal submanifolds of spheres and extremal metrics for eigenvalues of the Laplace-Beltrami operator. Recently, this connection was used to provide several explicit examples of extremal metrics. We investigate the properties of these metrics and prove that none of them is maximal.
| Type: | Article |
|---|---|
| Title: | Nonmaximality of known extremal metrics on torus and Klein bottle |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1070/SM2013v204n12ABEH004358 |
| Publisher version: | https://doi.org/10.1070/SM2013v204n12ABEH004358 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | extremal metrics, bipolar surface, Otsuki tori, Lawson tau-surfaces. |
| 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.ucl.ac.uk/id/eprint/10201290 |
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