A complete description of the antipodal set of most symmetric spaces of compact type

zbMath1396.22008arXiv1603.08816MaRDI QIDQ1667197

Jonas Beyrer

Publication date: 27 August 2018

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08816

zbMATH Keywords

antipodal setdimensions of orbitssymmetric space of compact type

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35)

Cites Work

• Injectivity radius and Cartan polyhedron for simply connected symmetric spaces
• Injectivity radius for non-simply connected symmetric spaces via Cartan polyhedron
• Local orbit types of \(S\)-representations of symmetric \(R\)-spaces
• Minimum and Conjugate Points in Symmetric Spaces
• Antipodal Manifolds in Compact Symmetric Spaces of Rank One
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