Mathematics – Complex Variables
Scientific paper
2006-10-26
Mathematics
Complex Variables
Scientific paper
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 ${\Bbb
C}^2$.
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