Natural $\Gamma$-symmetric structures on $R$-spaces

TL;DR

This paper classifies $R$-spaces with a specific natural $ ext{ extGamma}$-symmetric structure and identifies their maximal antipodal sets, advancing understanding of symmetric structures in geometric spaces.

Contribution

It provides a classification of $R$-spaces with $ ext{ extGamma}$-symmetry and determines their maximal antipodal sets, a novel contribution in geometric symmetry analysis.

Findings

Classification of $R$-spaces with $ ext{ extGamma}$-symmetric structures

Determination of maximal antipodal sets for these spaces

Enhanced understanding of symmetry properties in geometric spaces

Abstract

We classify $R$-spaces that admit a certain natural $\Gamma$-symmetric structure. We further determine the maximal antipodal sets of these structures.