The even Clifford structure of the fourth

DOI10.1515/coma-2015-0008zbMath1336.53058arXiv1506.04624OpenAlexW2963933797MaRDI QIDQ490711

Maurizio Parton, Paolo Piccinni

Publication date: 28 August 2015

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04624

zbMATH Keywords

octonionsClifford structureexceptional symmetric space

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Spin and Spin({}^c) geometry (53C27) Calibrations and calibrated geometries (53C38)

Related Items (10)

On some Grassmannians carrying an even Clifford structure ⋮ Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a Spin(9)-structure ⋮ A note on secant-defective varieties and Clifford modules ⋮ Local geometry of even Clifford structures on conformal manifolds ⋮ On the explicit expressions of the canonical 8-form on Riemannian manifolds with \(\mathrm{Spin}(9)\) holonomy ⋮ Generalized almost even-Clifford manifolds and their twistor spaces ⋮ The role of \(\mathrm{Spin}(9)\) in octonionic geometry ⋮ An even Clifford diamond ⋮ Parallelizations on products of spheres and octonionic geometry ⋮ Spinorially twisted spin structures. II: Twisted pure spinors, special Riemannian holonomy and Clifford monopoles

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