Deformations of cuspidal edges in a 3-dimensional space form

DOI10.2996/KMJ47105MaRDI QIDQ6490249

Kentaro Saji, Kotaro Yamada, Masaaki Umehara

Publication date: 23 April 2024

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Gaussian curvaturecuspidal edge

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Non-Euclidean differential geometry (53A35)

Cites Work

• Unnamed Item
• \(A_{2}\)-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
• Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space
• Isometric deformations of wave fronts at non-degenerate singular points
• Local differential geometry of cuspidal edge and swallowtail
• Pseudospherical surfaces with singularities
• 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
• A Deformation of Tori with Constant Mean Curvature in ℝ 3 to Those in Other Space Forms
• Wave maps and constant curvature surfaces: singularities and bifurcations
• Duality on generalized cuspidal edges preserving singular set images and first fundamental forms
• Differential Geometry of Curves and Surfaces

This page was built for publication: Deformations of cuspidal edges in a 3-dimensional space form