Extremal spectral properties of Lawson tori

Details Extremal spectral properties of Lawson tori Extremal spectral properties of Lawson tori

2010-08-17

arxiv.org/abs/1008.2954v4

Mathematics

Spectral Theory

This paper is withdrawn and it will not be published since the author obtained later in the paper arXiv:1009.0285 much stronge

Scientific paper

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.

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