Complete prolongation for infinitesimal automorphisms on almost complex manifolds

被引：3

作者：

Kim, Hyeseon ^{[2
]}

Lee, Kang-Hyurk ^{[1
]}

机构：

[1] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

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

来源：

MATHEMATISCHE ZEITSCHRIFT | 2010年 / 264卷 / 04期

关键词：

Almost complex manifold; Infinitesimal automorphisms; Complete prolongation; DOMAINS; BOUNDARY;

D O I：

10.1007/s00209-009-0496-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the almost complex manifold and its symmetry algebra, the set of germs of infinitesimal automorphisms. The main result is that there is a certain condition to a torsion bundle under which the dimension of the symmetry algebra can not exceed 4 in the case of complex dimension 2. We will give an example which attains the maximal dimension 4, and another example without non-degeneracy whose symmetry algebra is of infinite dimension.

引用

页码：913 / 925

页数：13

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