Geodesic
Nonmaximality of known extremal metrics on torus and Klein bottle
Sbornik. Mathematics, Tome 204 (2013) no. 12, pp. 1728-1744

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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. Bibliography: 24 titles.
Keywords: extremal metrics, bipolar surface, Lawson tau-surfaces.
Mots-clés : Otsuki tori 
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     author = {M. A. Karpukhin},
     title = {Nonmaximality of known extremal metrics on torus and {Klein} bottle},
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M. A. Karpukhin. Nonmaximality of known extremal metrics on torus and Klein bottle. Sbornik. Mathematics, Tome 204 (2013) no. 12, pp. 1728-1744. http://geodesic.mathdoc.fr/item/SM_2013_204_12_a2/