3 papers
math.AP2026
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…
math.CV2026
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…
math.CV2025
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…