Cohomology relative to a system of closed forms on the torus

DOI10.1002/mana.201500293zbMath1368.58011OpenAlexW2408831458MaRDI QIDQ2953705

Abdelhamid Meziani, Paulo L. Dattori da Silva

Publication date: 5 January 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201500293

zbMATH Keywords

solvabilityFourier seriesdifferential complexDiophantine condition

Mathematics Subject Classification ID

Differential complexes (58J10) Systems of linear first-order PDEs (35F35)

Related Items (7)

Tube structures of co-rank 1 with forms defined on compact surfaces ⋮ Levi-flat CR structures on compact Lie groups ⋮ Global analytic hypoellipticity of involutive systems on compact manifolds ⋮ Global analytic solvability of involutive systems on compact manifolds ⋮ Global solvability of real analytic involutive systems on compact manifolds. Part 2 ⋮ A Gevrey differential complex on the torus ⋮ Class of hypocomplex structures on the two-dimensional torus

Cites Work

• Existence and regularity of periodic solutions to certain first-order partial differential equations
• Global solvability of a class of involutive systems
• Globally hypoelliptic systems of vector fields
• Global hypoellipticity, global solvability and normal form for a class of real vector fields on a torus and application
• HYPOELLIPTICITY OF NONSINGULAR CLOSED 1-FORMS ON COMPACT MANIFOLDS
• Globally Hypoelliptic Vector Fields on Compact Surfaces
• Hypoelliptic vector fields and almost periodic motions on the torus Tⁿ
• Global solvability for certain classes of underdetermined systems of vector fields

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