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On the essential spectrum of Nadirashvili-Martin-Morales minimal surfaces

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 نشر من قبل Greg\\'orio Pacelli F. Bessa
 تاريخ النشر 2009
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We show that the spectrum of a complete submanifold properly immersed into a ball of a Riemannian manifold is discrete, provided the norm of the mean curvature vector is sufficiently small. In particular, the spectrum of a complete minimal surface properly immersed into a ball of $mathbb{R}^{3}$ is discrete. This gives a positive answer to a question of Yau.

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