We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the rôle of the octonions in them, in particular for some low dimensional examples.
On some Grassmannians carrying an even Clifford structure / Piccinni, Paolo. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - 59:(2018), pp. 122-137. [10.1016/j.difgeo.2018.04.007]
On some Grassmannians carrying an even Clifford structure
Piccinni, Paolo
2018
Abstract
We give an explicit description of the non-flat parallel even Clifford structures of rank 8, 6, 5 on some real, complex and quaternionic Grassmannians, and discuss the rôle of the octonions in them, in particular for some low dimensional examples.File allegati a questo prodotto
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