Spin(7)-manifolds and multisymplectic geometry

Spin(7)-manifolds and multisymplectic geometry

We utilize Spin(7) identities to prove that the Cayley four-form associated with 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 relations...

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Veröffentlicht in:Journal of mathematical physics 2021-12, Vol.62 (12)
1. Verfasser: Kennon, Aaron
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Manifolds (mathematics)
Physics
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description We utilize Spin(7) identities to prove that the Cayley four-form associated with 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 with torsion-free Spin(7)-structures.
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subjects Geometry
Manifolds (mathematics)
Physics
title Spin(7)-manifolds and multisymplectic geometry
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