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Remarks on Hamiltonian Structures in G_2-Geometry

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.

preprint2013arXivOpen access
Hyunjoo ChoSema SalurAlbert J. Todd
math.SGmath-phmath.MPmath.DG
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Hyunjoo ChoSema SalurAlbert J. Todd

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