Navigating Around Convex Sets

DOI10.1080/00029890.2020.1743596zbMath1441.52003arXiv1906.07281OpenAlexW3027633221MaRDI QIDQ5111075

J. J. P. Veerman

Publication date: 26 May 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.07281

zbMATH Keywords

convex setsdistance to a convex body

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (3)

Reflections on Equidistant Sets ⋮ Geodesics on regular constant distance surfaces ⋮ One-sided derivative of distance to a compact set

Cites Work

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• On a convex set with nondifferentiable metric projection
• Minimally separating sets, mediatrices, and Brillouin spaces
• The topology of surface mediatrices
• Curvature and distance function from a manifold
• Distance to \(C^k\) hypersurfaces
• Directionally nondifferentiable metric projection
• On Brillouin zones
• Be Careful What You Assign: Constant Speed Parametrizations
• Mathematical Analysis
• Shorter Notes: Regularity of the Distance Function
• Existence and Differentiability of Metric Projections in Hilbert Spaces
• Differentiability of the Metric Projection in Hilbert Space
• Equators have at most countable many singularities with bounded total angle

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