Remarks on Hamiltonian Structures in G_2-Geometry
Differential Geometry
2015-06-17 v1 Mathematical Physics
math.MP
Symplectic Geometry
Abstract
In this article, we treat G_2-geometry as a special case of multisymplectic geometry and make a number of remarks regarding Hamiltonian multivector fields and Hamiltonian differential forms on manifolds with an integrable G_2-structure; in particular, we discuss existence and make a number of identifications of the spaces of Hamiltonian structures associated to the two multisymplectic structures associated to an integrable G_2-structure. Along the way, we prove some results in multisymplectic geometry that are generalizations of results from symplectic geometry.
Cite
@article{arxiv.1309.1984,
title = {Remarks on Hamiltonian Structures in G_2-Geometry},
author = {Hyunjoo Cho and Sema Salur and Albert J. Todd},
journal= {arXiv preprint arXiv:1309.1984},
year = {2015}
}
Comments
17 pages; LaTeX; This is a reworking of material from our previous articles math.DG:1112.0832 & math.DG:1212.2261