Normal form of commuting vector fields

被引：1

作者：

Stolovitch, L

机构：

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1997年 / 324卷 / 06期

关键词：

D O I：

10.1016/S0764-4442(97)86986-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a holomorphic vector field near 0 is an element of C-n, having its positive resonances as first integrals, becomes holomorphically normalizable as soon as it belongs to a commutative Lie algebra of holomorphic vector-fields having the same properties. A part of J. Vey's results (see [4] and [5]) in the hamiltonian or in the isochore case is a special case.

引用

页码：665 / 668

页数：4