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Density-valued symplectic forms from a multisymplectic viewpoint

2025/02/04 by Laura Leski, Leski, Laura, Leonid Ryvkin +1
Mathematics · #53C10 #53C15 (primary) #53D05 (secondary) #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2502.02224

openalex publication_date 2025/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an intrinsic characterization of multisymplectic manifolds that have the linear type of density-valued symplectic forms in each tangent space, prove Darboux-type theorems for these forms, and investigate their symmetries.

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