Pseudoholomorphic mappings and Kobayashi hyperbolicity

被引：21
|
作者：
Kruglikov, BS
Overholt, M
机构：
[1] Moscow State Univ, Math Modelling Chair, Moscow, Russia
[2] Univ Tromso, Dept Math & Stat, N-9037 Tromso, Norway
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 1999年 / 11卷 / 03期
关键词：
almost complex structure; Kobayashi distance;
D O I：
10.1016/S0926-2245(99)00040-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We extend the definition of the Kobayashi pseudodistance to almost complex manifolds and show that its familiar properties are for the most part preserved. We also study the automorphism group of an almost complex manifold. We give special consideration to almost complex structures tamed by some symplectic form. The notions and pseudoholomorphic curves involved are illustrated in some examples.
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页码：265 / 277
页数：13
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