Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. I

DOI10.1016/j.difgeo.2020.101682zbMath1468.53048OpenAlexW3086230914WikidataQ115354710 ScholiaQ115354710MaRDI QIDQ1995642

Hiroyuki Tasaki, Makiko Sumi Tanaka

Publication date: 24 February 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101682

zbMATH Keywords

symmetric spaceantipodal set

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Morse functions of \(G_2/\operatorname{SO(4)}\) ⋮ A commutativity condition for subsets in quandles — a generalization of antipodal subsets ⋮ A survey on natural Γ-symmetric structures on 𝑅-spaces ⋮ Polars of disconnected compact Lie groups ⋮ Maximal antipodal sets in irreducible compact symmetric spaces ⋮ Addendum to: ``Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I ⋮ Maximal antipodal sets related to 𝐺₂

Cites Work

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• The Invariant of Chen-Nagano on Flag Manifolds
• A Riemannian Geometric Invariant and its Applications to a Problem of Borel and Serre
• Two-number of symmetric R-spaces
• The index number of an 𝑅-space: An extension of a result of M.Takeuchi’s
• On index number and topology of flag manifolds
• Maximal antipodal sets in irreducible compact symmetric spaces

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