Limit sets for complete minimal immersions

Mathematics – Differential Geometry

Scientific paper

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8 pages, 3 figures. To appear in Math. Z

Scientific paper

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.

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