Mappings of Bounded Distortion Between Complex Manifolds
نویسندگان
چکیده
We obtain Liouville type theorems for holomorphic mappings with bounded s-distortion between Cn and positively curved Kähler manifolds.
منابع مشابه
Mappings of Bounded Mean Distortion and Cohomology
T 2 are the only closed Riemann surfaces admitting nonconstant conformal mappings from the complex plane. The same rigidity is present in higher dimensions; closed manifolds admitting conformal mappings from Rn are quotients of Sn and Tn, see e.g. [2, Prop. 1.4]. However, if distortion is allowed, simple examples show that the spaces Sk1 × Sk2 × · · · × Skl (k1 + · · ·+ kl = n) receive nonconst...
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تاریخ انتشار 2012