Castrillón López, MarcoMartínez Gadea, PedroMykytyuk, I.V.2023-06-202023-06-2020100219-887810.1142/S0219887810004786https://hdl.handle.net/20.500.14352/43849An explicit expression of the canonical 8-form on a Riemannian manifold with a Spin(9)-structure, in terms of the nine local symmetric involutions involved, is given. The list of explicit expressions of all the canonical forms related to Berger’s list of holonomy groups is thus completed. Moreover, some results on Spin(9)-structures as G-structures defined by a tensor and on the curvature tensor of the Cayley planes, are obtained.engjournal articlehttp://www.worldscientific.com/toc/ijgmmp/07/07http://www.worldscientific.comrestricted access514.762Canonical 8-form on a Spin(9)-ManifoldCurvature Tensor of the Cayley PlanesBasic Spin Representation of Spin(9)Geometría diferencial1204.04 Geometría Diferencial