Complete embedded minimal n-submanifolds in C^n
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
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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Cite
@article{arxiv.math/0103130,
title = {Complete embedded minimal n-submanifolds in C^n},
author = {Claudio Arezzo and Frank Pacard},
journal= {arXiv preprint arXiv:math/0103130},
year = {2007}
}
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37 pag