Antipodal sets of exceptional symmetric spaces
Yuuki Sasaki
TL;DR
This paper classifies maximal antipodal sets in simply connected exceptional compact symmetric spaces and explores their inclusion relations, advancing understanding of the geometric structure of these spaces.
Contribution
It provides a complete classification of maximal antipodal sets in all simply connected exceptional symmetric spaces, combining new results with existing literature.
Findings
Complete classification of maximal antipodal sets
Description of inclusion relations among exceptional symmetric spaces
Enhanced understanding of geometric structures
Abstract
In this paper, we study maximal antipodal sets in simply connected exceptional compact symmetric spaces. Combining our results with the existing literature, we obtain a complete classification of maximal antipodal sets in all such spaces. Moreover, through the description of antipodal sets, we disscus the inclusion relations among exceptional symmetric spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Analytic and geometric function theory · Fixed Point Theorems Analysis