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Limit sets for complete minimal immersions

A. Alarcon, N. Nadirashvili

math.DGarXiv:math/0612149

Abstract

In this paper we study the behaviour of the limit set of complete proper compact minimal immersions in a regular domain G of R3. 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.

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