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.