Applications harmoniques et hyperbolicit\'e des domaines tubes
Complex Variables
2007-05-23 v1
Abstract
An application of the Zalcman renormalization theorem to harmonic functions shows that the limit functions are nonconstant affine. Extensions of this method are given for maps with values in a torus or in a complex Lie groups. As an application, we give criteria of Kobayashi hyperbolicity for tubes in .
Cite
@article{arxiv.math/0610796,
title = {Applications harmoniques et hyperbolicit\'e des domaines tubes},
author = {J-J. Loeb},
journal= {arXiv preprint arXiv:math/0610796},
year = {2007}
}