Riemannian and Finslerian spheres with fractal cut loci

DOI10.1016/j.difgeo.2016.07.004zbMath1353.53049arXiv1305.5028OpenAlexW1534336281WikidataQ115355649 ScholiaQ115355649MaRDI QIDQ344153

Jin-ichi Itoh, Vasile Sorin Sabau

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5028

zbMATH Keywords

geodesicsRiemannian manifoldscut locusHausdorff measurefractalsnon-reversible Finsler manifolds

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (3)

The Azimuthal equidistant projection for a Finsler manifold by the exponential map ⋮ A connection between cut locus, Thom space and Morse-Bott functions ⋮ Cut locus realizations on convex polyhedra

Cites Work

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• The length of a cut locus on a surface and Ambrose's problem
• Scattering of geodesic fields, I
• The dimension of a cut locus on a smooth Riemannian manifold
• The cut loci and the conjugate loci on ellipsoids
• The cut locus and conjugate locus of a riemannian manifold
• The cut locus and distance function from a closed subset of a Finsler manifold
• The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
• Simplicial Structure of the Real Analytic Cut Locus

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