Cuspidal edges with the same first fundamental forms along a knot

DOI10.1142/S0218216520500479zbMath1455.57032arXiv1908.06609OpenAlexW3021071162MaRDI QIDQ5119261

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

Publication date: 3 September 2020

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06609

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 (2)

Local differential geometry of cuspidal edge and swallowtail ⋮ On the existence of four or more curved foldings with common creases and crease patterns

Cites Work

• The geometry of fronts
• Spherical Surfaces
• Behavior of Gaussian Curvature and Mean Curvature Near Non-degenerate Singular Points on Wave Fronts
• Duality on generalized cuspidal edges preserving singular set images and first fundamental forms

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