Extremal spectral properties of Lawson tori
arXiv:1008.2954
Abstract
Extremal spectral properties of the Lawson tori are studied. A Lawson torus carries an extremal metric for some eigenvalue of the Laplace-Beltrami operator. The main result of this paper is that the number of this eigenvalue is expressed in terms of fundamental tones of auxiliary periodic Sturm-Liouville problems.
arXiv commentThis paper is withdrawn and it will not be published since the author obtained later in the paper arXiv:1009.0285 much stronger results using theory of the Lamé equation