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
收藏
页码：913 / 925
页数：13
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