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Polars and antipodal sets of generalized $s$-manifolds

Year: 2025
Type: preprint
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.
Authors: Ohno, Shinji, Sakai, Takashi
Language: English
Open Access status: green
OpenAlex ID: W7076954663
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