Limit sets for complete minimal immersions

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In this paper we study the behaviour of the limit set of complete proper compact minimal immersions in a regular domain G of R^3. We prove that the second fundamental form of the boundary surface of G is nonnegatively defined at every point of the limit set of such immersions.
8 pages, 3 figures. To appear in Math. Z

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Differential Geometry, 53A10; 49Q05; 49Q10; 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/123414

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612149
 http://arxiv.org/abs/math/0612149

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arXiv