Remarks on Hamiltonian Structures in G_2-Geometry
arXiv:1309.1984 · doi:10.1063/1.4834055
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.
17 pages; LaTeX; This is a reworking of material from our previous articles math.DG:1112.0832 & math.DG:1212.2261
References in corpus (6)
- Multi-moment maps
- Closed forms and multi-moment maps
- On the Geometry of Multi-Dirac Structures and Gerstenhaber Algebras
- New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
- Contact Structures on G_2-Manifolds and Spin 7-Manifolds
- Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras