Conjugate Loci of Totally Geodesic Submanifolds of Symmetric Spaces

DOI10.2307/2154329zbMath0779.53033OpenAlexW4250848157MaRDI QIDQ4695375

John M. Burns

Publication date: 9 January 1994

Full work available at URL: https://doi.org/10.2307/2154329

zbMATH Keywords

homologyCartan decompositionMorse functionsingular orbitsinvolutive isometry

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35)

Related Items (4)

The volume of geodesic balls and tubes about totally geodesic submanifolds in compact symmetric spaces ⋮ The (𝑀₊,𝑀₋)-method on compact symmetric spaces and its applications ⋮ Centrioles in symmetric spaces ⋮ On the mean exit time for compact symmetric spaces

Cites Work

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• The index theorem in Riemannian geometry
• On conjugate loci and cut loci of compact symmetric spaces. I
• On the structure of cut loci in compact Riemannian symmetric spaces
• Totally geodesic submanifolds of symmetric spaces. II
• Fixed Points of Isometries
• Applications of the Theory of Morse to Symmetric Spaces
• Minimum and Conjugate Points in Symmetric Spaces
• Conjugate loci in Grassmann manifolds

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