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arXiv · 1301.5143

Interactions between para-quaternionic and Grassmannian geometry

Vojtech Zadnik
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Abstract

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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Vojtech Zadnik. 2013-01-22. Interactions between para-quaternionic and Grassmannian geometry. https://arxiv.org/abs/1301.5143

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