Antipodal sets of exceptional symmetric spaces
Differential Geometry
2025-12-15 v1
Abstract
In this paper, we study maximal antipodal sets in simply connected exceptional compact symmetric spaces. Combining our results with the existing literature, we obtain a complete classification of maximal antipodal sets in all such spaces. Moreover, through the description of antipodal sets, we disscus the inclusion relations among exceptional symmetric spaces.
Keywords
Cite
@article{arxiv.2512.11460,
title = {Antipodal sets of exceptional symmetric spaces},
author = {Yuuki Sasaki},
journal= {arXiv preprint arXiv:2512.11460},
year = {2025}
}