The local homology of cut loci in Riemannian manifolds

DOI10.2748/tmj/1178229100zbMath0512.53041OpenAlexW1967386338WikidataQ115227207 ScholiaQ115227207MaRDI QIDQ1049946

James J. Hebda

Publication date: 1983

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229100

zbMATH Keywords

cut locusCech cohomologyconjugate locus

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items

The Azimuthal equidistant projection for a Finsler manifold by the exponential map, Parallel Translation of Curvature Along Geodesics, Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie, A connection between cut locus, Thom space and Morse-Bott functions, The possible cohomology of certain types of taut submanifolds, Spherical points in Riemannian manifolds

Cites Work

• Scattering of geodesic fields, I
• Cut loci in Riemannian manifolds
• Conjugate loci of constant order
• Connections between differential geometry and topology. I. Simply connected surfaces
• Decomposition of Cut Loci
• Simplicial Structure of the Real Analytic Cut Locus
• The Conjugate Locus of a Riemannian Manifold
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