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.
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页码：1305 / 1310
页数：6
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