Globally analytic hypoelliptic vector fields on compact surfaces

被引：0

作者：

Bergamasco, Adalberto P. ^{[1
]}

Zani, Sergio Luis ^{[1
]}

机构：

[1] USP, Inst Ciencias Matemat & Computacao, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2008年 / 136卷 / 04期

关键词：

complex vector fields; global analytic hypoellipticity; Liouville numbers; sheaf cohomology; Sussmann orbits;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a characterization of the global analytic hypoellipticity of a complex, non-singular, real analytic vector field defined on a compact, connected, orientable, two-dimensional, real analytic manifold. In particular, we show that such vector fields exist only on the torus.

引用

页码：1305 / 1310

页数：6

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