Surfaces in 3-space and their contact with circles

DOI10.4310/jdg/1214440022zbMath0579.53004OpenAlexW1533011478WikidataQ115185514 ScholiaQ115185514MaRDI QIDQ1067218

James A. Montaldi

Publication date: 1986

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214440022

zbMATH Keywords

higher-order contactsurfacescirclesGauss mappinggeneric umbilicridge points

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

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A system of fifth-order partial differential equations describing a surface which contains many circles ⋮ Singularities of caustics of surfaces in non-flat Riemannian 4-space form ⋮ Planar sections of a surface close to an umbilic ⋮ Characterizing envelopes of moving rotational cones and applications in CNC machining ⋮ Singularities of Anti de Sitter torus Gauss maps

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