Complete embedded minimal n-submanifolds in C^n

Mathematics – Differential Geometry

Scientific paper

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37 pag

Scientific paper

In this paper we prove the existence of families of n-dimensional complete
embedded minimal submanifolds of C^n with a prescribed configuration of k>1
asymptotic planes. These submanifolds are obtained by desingularizing the
intersection of the asymptotes, using a gluing theorem applied to a
generalization of a special lagrangian "hyperbola" found by Lawlor.

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