4 papers
Global properties of the differential complex associated to closed, nonsingular -forms on compact manifolds
Gabriel Araújo, Paulo Leandro Dattori da Silva, Bruno de Lessa Victor +1
Given a closed, real, non-singular 1-form on a compact manifold , global properties of the associated differential complex are studied. We completely characterize global solvabi…
Cohomology of CR structures on compact Lie groups
Howard Jacobowitz, Max Reinhold Jahnke, Vinícius Novelli +1
We show that, under a division condition, the tangential Cauchy--Riemann cohomology of a compact Lie group with a left-invariant CR structure can be computed on a suitable maximal…
On the regularity of nondegenerate hypo-analytic structures of hypersurface type
Ilya Kossovskiy, Vinícius Novelli
For a smooth, non-degenerate locally integrable structure of hypersurface type on a manifold , we provide necessary and sufficient conditions for it to be equivalent, near a poi…
A comparison principle between certain Levi-flat compact CR manifolds and systems of real vector fields
Paulo D. Cordaro, Vinícius Novelli
We study, in some models of Levi flat CR manifolds, the correspondence between the tangential Cauchy-Riemann complex and the complex defined by the associated real foliation.