Extremal spectral properties of Lawson tori
classification
🧮 math.SP
math.DG
keywords
extremallawsoneigenvaluepropertiesspectraltoriauxiliarycarries
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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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