an:07050774
Zbl 1418.35002
Hounie, Jorge; Zugliani, Giuliano
Global solvability of real analytic involutive systems on compact manifolds. II
EN
Trans. Am. Math. Soc. 371, No. 7, 5157-5178 (2019).
00432321
2019
j
35A01 35N10 58J10
locally integrable structure; complex vector fields; Liouville numbers
The authors continue their previous study [Math. Ann. 369, No. 3--4, 1177--1209 (2017; Zbl 1380.35129)] on the global solvability of a locally integrable structure of tube type and a corank one, considering a linear partial differential operator $\mathbb{L}$ associated with a real analytic closed 1-form defined on a real analytic closed $n$-manifold. The authors characterize the global hypoellipticity of $\mathbb{L}$ and the global solvability of $\mathbb{L}^{n-1}$.
Marius Ghergu (Dublin)
Zbl 1380.35129