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arXiv · 1309.1984

Remarks on Hamiltonian Structures in G_2-Geometry

Hyunjoo Cho·Sema Salur·Albert J. Todd
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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.

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Hyunjoo Cho, Sema Salur, Albert J. Todd. 2013-09-08. Remarks on Hamiltonian Structures in G_2-Geometry. https://doi.org/10.1063/1.4834055

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