Simultaneous reduction of a family of commuting real vector fields and global hypoellipticity

被引：9
|
作者：
Petronilho G. [1 ]
机构：
[1] Departamento de Matemática, Universidade Federal de São Carlos, São Carlos
来源：
Israel Journal of Mathematics | 2006年 / 155卷 / 1期
关键词：
Vector Field; Simultaneous Reduction; Wallach; Diophantine Condition; Hypoelliptic Operator;
D O I：
10.1007/BF02773949
中图分类号：
学科分类号：
摘要：
In this paper we consider a family of commuting real vector fields on the n-dimensional torus and show that it can be transformed into a family of constant vector fields provided that there is one of them which its transposed is globally hypoelliptic. We apply this result to prove global hypoellipticity for certain classes of sublaplacians.
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页码：81 / 92
页数：11
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