Duality on generalized cuspidal edges preserving singular set images and first fundamental forms

DOI10.5427/jsing.2020.22ezbMath1468.57028arXiv1906.02556OpenAlexW3082181033MaRDI QIDQ5129957

Kentaro Saji, Atsufumi Honda, Kosuke Naokawa, Kotaro Yamada, Masaaki Umehara

Publication date: 3 November 2020

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02556

zbMATH Keywords

singularitywave frontcuspidal edgefirst fundamental form

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Singularities of differentiable mappings in differential topology (57R45)

Related Items (5)

Singularities of Gauss maps of frontal surfaces with non-front singular points ⋮ Cuspidal edges with the same first fundamental forms along a knot ⋮ On Gaussian curvatures and singularities of Gauss maps of cuspidal edges ⋮ Isometric deformations of wave fronts at non-degenerate singular points ⋮ On the existence of four or more curved foldings with common creases and crease patterns

Cites Work

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• Geometric invariants of \(5/2\)-cuspidal edges
• The geometry of fronts
• Geometric Invariants of Cuspidal Edges
• Spherical Surfaces
• Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts
• Intrinsic properties of surfaces with singularities
• Flat surfaces along cuspidal edges

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