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arXiv · 2110.05685

Spin(7)-Manifolds and Multisymplectic Geometry

Aaron Kennon
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Abstract

We utilize Spin(7) identities to prove that the Cayley four-form associated to a torsion-free Spin(7)-Structure is non-degenerate in the sense of multisymplectic geometry. Therefore, Spin(7) geometry may be treated as a special case of multisymplectic geometry. We then capitalize on this relationship to make statements about Hamiltonian multivector fields and differential forms associated to torsion-free Spin(7)-Structures.

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Aaron Kennon. 2021-10-12. Spin(7)-Manifolds and Multisymplectic Geometry. https://doi.org/10.1063/5.0054853

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