On vector-valued multisymplectic forms
Differential Geometry
2026-03-19 v1
Abstract
We obtain a standard local presentation for a vector-valued multisymplectic form on a smooth manifold, generalizing the known proof for polysymplectic forms. We show that vector-valued multisymplectic forms on a finite-dimensional real vector space form a non-unital operad. We prove an entropy inequality for partial compositions.
Keywords
Cite
@article{arxiv.2603.17252,
title = {On vector-valued multisymplectic forms},
author = {Tatyana Barron and Kai Boisvert and Noah Vale},
journal= {arXiv preprint arXiv:2603.17252},
year = {2026}
}