A differential complex on a compact Lie group

Annali di Matematica Pura ed Applicata (1923 -) 2026 Open access

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Authors: Paulo da Silva, Fernanda Martins Simão
DOI: 10.1007/s10231-026-01659-3
Cited by: 1
References: 14

Abstract

We characterize the global solvability, in each level of the complex, of a differential complex associate to an involutive system of real vector fields defined on the product of the n -dimensional torus and a compact Lie group. Also we compute the induced cohomology groups. Our results are linked to a certain algebraic condition.

Fields of Study & Subjects

Advanced Differential Equations and Dynamical Systems Homotopy and Cohomology in Algebraic Topology Geometry and complex manifolds

Publication details

Journal / source
Annali di Matematica Pura ed Applicata (1923 -)
Publisher
Springer Science and Business Media LLC
Volume
205
Issue
4
Pages
1885–1910
Publication date
24 January 2026
Language
EN