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arXiv · 2508.11855

Polars and antipodal sets of generalized $s$-manifolds

Shinji Ohno·Takashi Sakai
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Abstract

In this paper, we introduce the notion of generalized $s$-manifolds, which is a generalization of symmetric spaces. Then we give a method to construct generalized $s$-manifolds and present some typical examples. We study polars and antipodal sets of generalized $s$-manifolds aiming to extend the results on compact symmetric spaces due to Chen and Nagano.

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Shinji Ohno, Takashi Sakai. 2025-08-16. Polars and antipodal sets of generalized $s$-manifolds. https://arxiv.org/abs/2508.11855

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