Interactions between para-quaternionic and Grassmannian geometry
Authors | |
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Year of publication | 2020 |
Type | Article in Periodical |
Magazine / Source | Annals of Global Analysis and Geometry |
MU Faculty or unit | |
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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