On conjugate loci and cut loci of compact symmetric spaces. I

DOI10.21099/tkbjm/1496158504zbMath0435.53039OpenAlexW4255423978MaRDI QIDQ1140324

Masaru Takeuchi

Publication date: 1978

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

Full work available at URL: https://doi.org/10.21099/tkbjm/1496158504

zbMATH Keywords

symmetric spaceconjugate and cut locusfundamental group of a compact symmetric space

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35)

Related Items (11)

Conjugate Loci of Totally Geodesic Submanifolds of Symmetric Spaces ⋮ Volume minimizing submanifolds in compact symmetric spaces ⋮ The intersection of two real forms in Hermitian symmetric spaces of compact type ⋮ Counting geodesics on compact Lie groups ⋮ Injectivity radius for non-simply connected symmetric spaces via Cartan polyhedron ⋮ Correction to: ``The intersection of two real forms in Hermitian symmetric spaces of compact type ⋮ On integral geometry in the four dimensional complex projective space ⋮ Spectral flow is a complete invariant for detecting bifurcation of critical points ⋮ Integral geometry under cut loci in compact symmetric spaces ⋮ A metric analogue of Hartogs' theorem ⋮ The Lipschitz continuity of the distance function to the cut locus

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