On some Grassmannians carrying an even Clifford structure

Paolo Piccinni

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arXiv · 1805.01751

On some Grassmannians carrying an even Clifford structure

Paolo Piccinni

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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.

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Paolo Piccinni. 2018-05-04. On some Grassmannians carrying an even Clifford structure. https://arxiv.org/abs/1805.01751

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