On the structure of cut loci in compact Riemannian symmetric spaces

DOI10.1007/BF01405010zbMath0362.53045WikidataQ115393581 ScholiaQ115393581MaRDI QIDQ1239933

Takashi Sakai

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163147

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35)

Related Items

Conjugate Loci of Totally Geodesic Submanifolds of Symmetric Spaces, Volume minimizing submanifolds in compact symmetric spaces, Coherent states and geodesics: Cut locus and conjugate locus, Spectra of Some Domains in Compact Lie Groups and Their Applications, Geodesic complexity via fibered decompositions of cut loci, Geodesic complexity of homogeneous Riemannian manifolds, Injectivity radius for non-simply connected symmetric spaces via Cartan polyhedron, Spectral flow is a complete invariant for detecting bifurcation of critical points, Integral geometry under cut loci in compact symmetric spaces, Centrioles in symmetric spaces, The Lipschitz continuity of the distance function to the cut locus

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The global study of geodesics in symmetric and nearly symmetric Riemannian manifolds
• On cut loci of compact symmetric spaces
• On cut loci and first conjugate loci of the irreducible symmetric R- spaces and the irreducible compact Hermitian symmetric spaces
• Cut loci in Riemannian manifolds
• The cut locus and conjugate locus of a riemannian manifold
• Conjugate loci of constant order
• Minimum and Conjugate Points in Symmetric Spaces
• DIFFERENTIAL GEOMETRY OF GRASSMANN MANIFOLDS