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Regular version of the site

Article

Extremal spectral properties of Lawson tau-surfaces and the Lam´e equation

Moscow Mathematical Journal. 2012. Vol. 12. No. 1. P. 173-192.
Extremal spectral properties of Lawson tau-surfaces are investigated. The Lawson tau-surfaces form a two-parametric family of tori or Klein bottles minimally immersed in the standard unitary three-dimensional sphere. A Lawson tau-surface carries an extremal metric for some eigenvalue of the Laplace-Beltrami operator. Using theory of the Lam\'e equation we find explicitly these extremal eigenvalues.