abstract: We give and 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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@article{Leski-Densityvalued-symplectic-forms-2025,
 abstract = {We give and 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.},
 arxiv = {arXiv:2502.02224},
 author = {Leski, Laura and Ryvkin, Leonid},
 doi = {10.1016/j.difgeo.2026.102334},
 eprint = {2502.02224},
 fjournal = {Differential Geometry and its Applications},
 issn = {0926-2245},
 journal = {Differ. Geom. Appl.},
 keywords = {53-XX,32-XX},
 language = {English},
 note = {Id/No 102334},
 pages = {11},
 title = {Density-valued symplectic forms from a multisymplectic viewpoint},
 volume = {103},
 year = {2026},
 zbmath = {8213406}
}