On the Level sets of a Distance Function in a Minkowski Space

DOI10.2307/2038554zbMath0228.57005OpenAlexW4246111484MaRDI QIDQ5636070

W. D. Pepe, Ronald F. Gariepy

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038554

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Applications of global analysis to structures on manifolds (57R57)

Related Items (10)

When Midsets are Manifolds ⋮ On the topology of the effective subsets of level sets ⋮ Optimal design of fractured media with prescribed macroscopic strain ⋮ Equidistant Sets and their Connectivity Properties ⋮ Fine properties of the curvature of arbitrary closed sets ⋮ Normal bundle and Almgren’s geometric inequality for singular varieties of bounded mean curvature ⋮ The geometry of Minkowski spaces -- a survey. II. ⋮ Equally spaced points for families of compact sets in Euclidean spaces ⋮ Relaxation for optimal design problems with non-standard growth ⋮ Tubular neighborhoods in Euclidean spaces

Cites Work

• Curvature Measures
• Convex Analysis
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