Antipodal Manifolds in Compact Symmetric Spaces of Rank One

DOI10.2307/2042552zbMath0404.53045OpenAlexW4240180673MaRDI QIDQ4189780

Juan Alfredo Tirao

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2042552

zbMATH Keywords

Semisimple Lie GroupProjective SpacesAntipodal ManifoldsCompact Symmetric Spaces of Rank OneGeodesic SymmetryInvolutive AutomorphismRestricted Root

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Strict positive definiteness of multivariate covariance functions on compact two-point homogeneous spaces ⋮ A complete description of the antipodal set of most symmetric spaces of compact type

Cites Work

• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Homogeneous Sphere Bundles and the Isotropic Riemann Manifolds

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