Cut loci in Riemannian manifolds

DOI10.2748/tmj/1178241180zbMath0285.53034OpenAlexW2032323547WikidataQ115227184 ScholiaQ115227184MaRDI QIDQ1845398

V. Ozols

Publication date: 1974

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

Full work available at URL: https://doi.org/10.2748/tmj/1178241180

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (19)

The radial part of Brownian motion. II: Its life and times on the cut locus ⋮ The Azimuthal equidistant projection for a Finsler manifold by the exponential map ⋮ Itô correction terms for the radial parts of semimartingales on manifolds ⋮ Loki: Software for Computing Cut Loci ⋮ Parallel Translation of Curvature Along Geodesics ⋮ Linking curves, sutured manifolds and the Ambrose conjecture for generic 3-manifolds ⋮ Uniqueness of the partial travel time representation of a compact Riemannian manifold with strictly convex boundary ⋮ Geodesic complexity via fibered decompositions of cut loci ⋮ Geodesic complexity of homogeneous Riemannian manifolds ⋮ Unnamed Item ⋮ Gap phenomena and curvature estimates for conformally compact Einstein manifolds ⋮ Bach-flat asymptotically locally Euclidean metrics ⋮ On the structure of cut loci in compact Riemannian symmetric spaces ⋮ Thaw: A Tool for Approximating Cut Loci on a Triangulation of a Surface ⋮ On some aspects of oscillation theory and geometry ⋮ The dimension of a cut locus on a smooth Riemannian manifold ⋮ Topological rigidity for closed hypersurfaces of elliptic space forms ⋮ Necessary and sufficient conditions for a triangle comparison theorem ⋮ The local homology of cut loci in Riemannian manifolds

Cites Work

• The cut locus and conjugate locus of a riemannian manifold
• Connections between differential geometry and topology. I. Simply connected surfaces
• On the covering of a complete space by the geodesics though a point
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