On some Grassmannians carrying an even Clifford structure

Differential Geometry and Applications, 59 (2019) 122-137 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 ex...

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1. Verfasser: Piccinni, Paolo
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Sprache:eng
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Zusammenfassung:Differential Geometry and Applications, 59 (2019) 122-137 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.
DOI:10.48550/arxiv.1805.01751