Polars and antipodal sets of generalized $s$-manifolds
Differential Geometry
2025-08-20 v2
Abstract
In this paper, we introduce the notion of generalized -manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized -manifolds and present some typical examples. We study polars and antipodal sets of generalized -manifolds aiming to extend the results on compact symmetric spaces due to Chen and Nagano.
Cite
@article{arxiv.2508.11855,
title = {Polars and antipodal sets of generalized $s$-manifolds},
author = {Shinji Ohno and Takashi Sakai},
journal= {arXiv preprint arXiv:2508.11855},
year = {2025}
}