\(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration

DOI10.1007/s00031-013-9233-xzbMath1298.53040arXiv1208.0899OpenAlexW2055732574MaRDI QIDQ367147

Paolo Piccinni, Victor Vuletescu, Liviu Ornea, Maurizio Parton

Publication date: 26 September 2013

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0899

zbMATH Keywords

Riemannian manifolds\(\mathrm{Spin}(9)\)-structureoctonionic Hopf fibration

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Issues of holonomy in differential geometry (53C29) (G)-structures (53C10)

Related Items

The angular Laplacian on symmetric Damek-Ricci spaces ⋮ The even Clifford structure of the fourth ⋮ On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy ⋮ Riemannian and sub-Riemannian geodesic flows ⋮ The subelliptic heat kernel of the octonionic Hopf fibration ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds ⋮ H-type foliations

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