Antipodal sets of symmetric \(R\)-spaces

zbMath1276.53062MaRDI QIDQ1948070

Makiko Sumi Tanaka, Hiroyuki Tasaki

Publication date: 30 April 2013

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

Full work available at URL: https://projecteuclid.org/euclid.ojm/1364390424

zbMATH Keywords

Hermitian symmetric spaceantipodal setsymmetric \(R\)-space

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Related Items (14)

Homogeneity of maximal antipodal sets ⋮ The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications ⋮ A commutativity condition for subsets in quandles — a generalization of antipodal subsets ⋮ A survey on natural Γ-symmetric structures on 𝑅-spaces ⋮ Great antipodal sets on complex Grassmannian manifolds as designs with the smallest cardinalities ⋮ Maximal antipodal sets in irreducible compact symmetric spaces ⋮ Natural \(\Gamma\)-symmetric structures on \(R\)-spaces ⋮ Antipodal sets of pseudo-Riemannian symmetric \(R\)-spaces ⋮ The classification of real forms of simple irreducible pseudo-Hermitian symmetric spaces ⋮ Unnamed Item ⋮ Maximal antipodal sets of compact classical symmetric spaces and their cardinalities. I ⋮ Antipodal sets and designs on unitary groups ⋮ Unnamed Item ⋮ Maximal antipodal sets of \(E_6\) and some compact symmetric spaces

Cites Work

• The intersection of two real forms in the complex hyperquadric
• Stability of certain minimal submanifolds of compact Hermitian symmetric spaces
• The involutions of compact symmetric spaces. IV
• The intersection of two real forms in Hermitian symmetric spaces of compact type
• 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

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