Density-valued symplectic forms from a multisymplectic viewpoint

Fuente: arXiv
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Hauptverfasser: Leski, Laura, Ryvkin, Leonid
Format: Preprint
Veröffentlicht: 2025
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author Leski, Laura
Ryvkin, Leonid
author_facet Leski, Laura
Ryvkin, Leonid
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_02224
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Density-valued symplectic forms from a multisymplectic viewpoint
Leski, Laura
Ryvkin, Leonid
Symplectic Geometry
Differential Geometry
53C15 (primary), 53C10, 53D05 (secondary)
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.
title Density-valued symplectic forms from a multisymplectic viewpoint
topic Symplectic Geometry
Differential Geometry
53C15 (primary), 53C10, 53D05 (secondary)
url https://arxiv.org/abs/2502.02224