Mathematics – Differential Geometry
Scientific paper
2001-03-21
Mathematics
Differential Geometry
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.
Arezzo Claudio
Pacard Frank
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