Interactions between para-quaternionic and Grassmannian geometry
Differential Geometry
2018-10-30 v2
Abstract
Almost para-quaternionic structures on smooth manifolds of dimension are equivalent to almost Grassmannian structures of type . 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.
Cite
@article{arxiv.1301.5143,
title = {Interactions between para-quaternionic and Grassmannian geometry},
author = {Vojtech Zadnik},
journal= {arXiv preprint arXiv:1301.5143},
year = {2018}
}
Comments
Article reorganized, some issues clarified (e.g. the normalization), some added (e.g. distinguished curves), some suppressed (e.g. appendix). 21 pages