Global solvability and cohomology of tube structures on compact manifolds

DOI10.1007/S00208-024-02804-0MaRDI QIDQ6624787

M. R. Jahnke, Igor A. Ferra, Luis F. Ragognette, Gabriel Araújo

Publication date: 28 October 2024

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

zbMATH Keywords

differential complexescomplex tube structures

Mathematics Subject Classification ID

Differential complexes (58J10) PDEs on manifolds (35R01) Systems of linear first-order PDEs (35F35)

Cites Work

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• Global solvability of real analytic involutive systems on compact manifolds
• Global hypoellipticity and simultaneous approximability
• Global regularity and solvability of left-invariant differential systems on compact Lie groups
• Globally hypoelliptic systems of vector fields
• Global solvability and propagation of regularity of sums of squares on compact manifolds
• Cohomology relative to a system of closed forms on the torus
• Differential Analysis on Complex Manifolds
• Global solvability of real analytic involutive systems on compact manifolds. Part 2
• Global solvability for certain classes of underdetermined systems of vector fields

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Propagation of regularity for a class of systems of real vector fields on torus

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