HOLOMORPHIC FUNCTIONS ON ALMOST COMPLEX MANIFOLDS

被引：9

作者：

Han, Chong-Kyu ^{[1
]}

Kim, Hyeseon ^{[1
]}

机构：

[1] Seoul Natl Univ, Dept Math Sci, Seoul 151747, South Korea

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2012年 / 49卷 / 02期

关键词：

almost complex manifolds; J-holomorphic functions; Nijenhuis tensor; Newlander-Nirenberg theorem;

D O I：

10.4134/JKMS.2012.49.2.379

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given an almost complex structure (C-m, J), M >= 2, that is defined by setting theta(alpha)= dz(alpha) + a(beta)(alpha)d (z) over bar (beta), alpha = 1,..., m, to be (1, 0)-forms, we find conditions on (a(beta)(alpha)) for the existence of holomorphic functions and classify the almost complex structures by type (v,q). Then we determine types for several examples in C-2 and C-3 including the natural almost complex structure on S-6.

引用

页码：379 / 394

页数：16

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