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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@misc{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},
 eprint = {2502.02224},
 howpublished = {Preprint, {arXiv}:2502.02224 [math.{SG}] (2025)},
 keywords = {53C15,53C10,53D05},
 title = {Density-valued symplectic forms from a multisymplectic viewpoint},
 url = {https://arxiv.org/abs/2502.02224},
 year = {2025}
}