A remark on calibrations and Lie groups
Differential Geometry
2022-01-19 v1
Abstract
We use the notion of the principal three-dimensional subgroup of a simple Lie group to identify certain special subspaces of the Lie algebra and address the question of whether these are calibrated for invariant forms on the group.
Cite
@article{arxiv.2201.06331,
title = {A remark on calibrations and Lie groups},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:2201.06331},
year = {2022}
}
Comments
Dedicated to Blaine Lawson on the occasion of his 80th birthday. To appear in Pure and Applied Mathematics Quarterly