Projectively flat and affinely flat parabolic subgroups of special linear groups
Differential Geometry
2014-08-19 v1
Abstract
A special linear Lie group over the real number field and the quarternion field admits a projectivley flat affine connection. We show that parabolic subgroups are autoparallel submanifolds and give a criterion the induced connection is projectively equivalent to a flat affine connection.
Keywords
Cite
@article{arxiv.1408.3706,
title = {Projectively flat and affinely flat parabolic subgroups of special linear groups},
author = {Hironao Kato},
journal= {arXiv preprint arXiv:1408.3706},
year = {2014}
}
Comments
15 pages