A remark on calibrations and Lie groups
arXiv:2201.06331
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.
Dedicated to Blaine Lawson on the occasion of his 80th birthday. To appear in Pure and Applied Mathematics Quarterly