Spin(7)-manifolds and multisymplectic geometry

DOI10.1063/5.0054853zbMath1491.53064arXiv2110.05685OpenAlexW4205457947MaRDI QIDQ5020203

Aaron Kennon

Publication date: 4 January 2022

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.05685

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Spin and Spin({}^c) geometry (53C27)

Related Items (2)

Compact G2 holonomy spaces from SU(3) structures ⋮ \(\mathrm{Mink}_{4} \times S^2\) solutions of 10 and 11 dimensional supergravity

Cites Work

• New cohomogeneity one metrics with spin(7) holonomy
• Metrics with exceptional holonomy
• Parallel spinors and parallel forms
• On the multisymplectic formalism for first order field theories
• A new construction of compact 8-manifolds with holonomy Spin(7).
• On the construction of some complete metrics with exceptional holonomy
• Geometry of Hamiltonian \(n\)-vector fields in multisymplectic field theory.
• Compact 8-manifolds with holonomy \(\text{Spin}(7)\)
• Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds
• An invitation to multisymplectic geometry
• Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes
• Deformations of G₂ and Spin(7) Structures
• Hamiltonian multivector fields and Poisson forms in multisymplectic field theory
• Remarks on Hamiltonian structures in G2-geometry
• New complete noncompact Spin(7) manifolds
• M-theory on Spin(7) manifolds
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