应用harmoniques et hyperbolicité des domaines tube
Applications harmoniques et hyperbolicité des domaines tubes
摘要：
Zalcman重整化定理在调和函数中的应用表明，极限函数是非常数仿射的.本文给出了这种方法的推广，并将其推广到值在环面或复李群上的映射。作为应用，我们给出了${\Bbb C}^2$中管的Kobayashi双曲性准则.
英文摘要：
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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