2025/03/05 by Leonid Ryvkin, Ryvkin, Leonid
Mathematics · #Algebraic and Geometric Analysis #Numerical methods for differential equations #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2503.03672
We give a survey of Darboux type theorems in multisymplectic geometry. These theorems establish when a closed differential form of a certain type admits a constant-coefficient expression in some local coordinate system. Beyond the classical cases of symplectic and volume forms, 0-deformability (i.e. constancy of linear type) is typically not automatic and has to be imposed, leading to distinct theorems 'per linear type'.