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On some Grassmannians carrying an even Clifford structure (1805.01751v1)
Published 4 May 2018 in math.DG
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 r^ole of the octonions in them, in particular for some low dimensional examples.