Extremal spectral properties of Lawson tori

arXiv1008.2954MaRDI QIDQ6220252

Publication date: 17 August 2010

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.

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Critical metrics (58E11)

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