Interactions between para-quaternionic and Grassmannian geometry

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Authors

ŽÁDNÍK Vojtěch

Year of publication 2020
Type Article in Periodical
Magazine / Source Annals of Global Analysis and Geometry
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s10455-020-09701-0
Doi http://dx.doi.org/10.1007/s10455-020-09701-0
Keywords Almost para-quaternionic structures; Almost Grassmannian structures; Cartan connections
Description 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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