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arxiv: math/0612149 · v3 · submitted 2006-12-06 · 🧮 math.DG

Limit sets for complete minimal immersions

classification 🧮 math.DG
keywords immersionslimitcompleteminimalbehaviourboundarycompactdefined
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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.

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