Interactions between para-quaternionic and Grassmannian geometry
classification
🧮 math.DG
keywords
grassmannianpara-quaternionicalmoststructuresconditionsconstructionscurvesdimension
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Almost para-quaternionic structures on smooth manifolds of dimension $2n$ are equivalent to almost Grassmannian structures of type $(2,n)$. We remind the equivalence and exhibit some interrelations between subjects that were previously studied independently from the para-quaternionic and the Grassmannian point of view. In particular, we relate the respective normalization conditions, distinguished curves and twistor constructions.
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