Polars and antipodal sets of generalized $s$-manifolds

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.

Publication Details

Journal
ArXiv.org
Published
2025-08-16
Primary Topic
Geochemistry and Geologic Mapping
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article
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article

Polars and antipodal sets of generalized $s$-manifolds

ArXiv.org
Geochemistry and Geologic Mapping
article

Polars and antipodal sets of generalized $s$-manifolds

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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.

ArXiv.org
Openalex Percentile: Top 71%
Geochemistry and Geologic Mapping
Open Access PDFOpenAlex
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Polars and antipodal sets of generalized $s$-manifolds · ArXiv.org (2025) | TGRS Research Map | TGRS