Small eigenvalue problems on surfaces of constant mean curvature (Q2781265)
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scientific article; zbMATH DE number 1721011
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Small eigenvalue problems on surfaces of constant mean curvature |
scientific article; zbMATH DE number 1721011 |
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19 March 2002
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Spectrum of Laplace, constant mean curvature surface, hyperbolic space, stability operator
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0.9194688
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0.9103471
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0.91008556
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0.9049382
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0.89989376
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Small eigenvalue problems on surfaces of constant mean curvature (English)
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This paper deals with the spectra of the Laplace and stability operators of a constant mean curvature surface in the hyperbolic 3-space. In a preceding work [Ann. Global Anal. Geom. 17, No. 6, 563--580 (1999; Zbl 0948.58004)], the author described the essential spactra of these operators, assuming that the surface is of finite total curvature. In present paper, the author proved that these two operators have a finite number of eigenvalues below their essential spectra.
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