Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure

DOI10.1007/s12220-019-00209-zzbMath1462.53046arXiv1808.02452OpenAlexW2886416422WikidataQ115376764 ScholiaQ115376764MaRDI QIDQ2658954

Jan Kotrbatý

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02452

zbMATH Keywords

Kähler formCayley calibrationoctonionic planeKraines formweak Spin(9)-structure

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Spin and Spin({}^c) geometry (53C27) Differential invariants (local theory), geometric objects (53A55) Canonical forms, reductions, classification (15A21) (G)-structures (53C10)

Related Items (3)

Clifford systems, Clifford structures, and their canonical differential forms ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ Parallelizations on products of spheres and octonionic geometry

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