Cut and singular loci up to codimension 3

DOI10.5802/aif.2655zbMath1242.35095arXiv0806.2229OpenAlexW2962838519MaRDI QIDQ407805

Luis Guijarro, Pablo Angulo-Ardoy

Publication date: 28 March 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2229

zbMATH Keywords

Hamilton-Jacobi equationscut locusfocal points

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Boundary value problems for nonlinear first-order PDEs (35F30) Hamilton-Jacobi equations (35F21)

Related Items (3)

Balanced split sets and Hamilton-Jacobi equations ⋮ Brownian bridges to submanifolds ⋮ Stability of the cut locus and a central limit theorem for Fréchet means of Riemannian manifolds

Cites Work

• Balanced split sets and Hamilton-Jacobi equations
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Scattering of geodesic fields, I
• The dimension of a cut locus on a smooth Riemannian manifold
• On the singularities of convex functions
• Hamilton-Jacobi equations and distance functions on Riemannian manifolds
• Geometric measure theory.
• The distance function to the boundary, Finsler geometry, and the singular set of viscosity solutions of some Hamilton-Jacobi equations
• Regularity and variationality of solutions to Hamilton-Jacobi equations. Part I: Regularity (errata)
• Morse Theory. (AM-51)
• Some Consequences of the Nature of the Distance Function on the Cut Locus in a Riemannian Manifold
• The Lipschitz continuity of the distance function to the cut locus
• Parallel Translation of Curvature Along Geodesics
• The Conjugate Locus of a Riemannian Manifold
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