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Bour's Theorem for Helicoidal Surfaces with Singularities

https://doi.org/10.2139/ssrn.4775209
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/s00022-004-2511-yopenalex-extracted
Realizing a singular first fundamental form as a nonimmersed surface in Euclidean 3-space
inferredcites →https://doi.org/10.1007/s00025-026-02615-6openalex-extracted
The Bour’s Theorem for Invariant Surfaces in Three-Manifolds
inferredcites →https://doi.org/10.1007/s10231-021-01143-0openalex-extracted
Bour’s theorem and helicoidal surfaces with constant mean curvature in the Bianchi–Cartan–Vranceanu spaces
inferredcites →https://doi.org/10.1007/s12220-010-9193-5openalex-extracted
Coherent Tangent Bundles and Gauss–Bonnet Formulas for Wave Fronts
inferredcites →https://doi.org/10.1007/s13366-021-00602-2openalex-extracted
On the existence of four or more curved foldings with common creases and crease patterns
inferredcites →https://doi.org/10.1016/j.aam.2020.102083openalex-extracted
Curved foldings with common creases and crease patterns
inferredcites →https://doi.org/10.1016/j.difgeo.2012.04.001openalex-extracted
The behavior of curvature functions at cusps and inflection points
inferredcites →https://doi.org/10.1016/j.jmaa.2010.03.054openalex-extracted
Mean curvatures and Gauss maps of a pair of isometric helicoidal and rotation surfaces in Minkowski 3-space
inferredcites →https://doi.org/10.1016/j.topol.2017.11.024openalex-extracted
Geometry of cuspidal edges with boundary
inferredcites →https://doi.org/10.1017/cbo9781139172615openalex-extracted
Curves and Singularities
inferredcites →https://doi.org/10.1017/s1446788708000013openalex-extracted
PARABOLIC AND HYPERBOLIC SCREW MOTION SURFACES IN ℍ2×ℝ
inferredcites →https://doi.org/10.1023/a:1014239727720openalex-extracted
The Boy–Gauss–Bonnet Theorems for C ∞-Singular Surfaces with Limiting Tangent Bundle
inferredcites →https://doi.org/10.1080/00029890.1999.12005003openalex-extracted
More on Paperfolding
inferredcites →https://doi.org/10.1090/conm/675/13586openalex-extracted
On associate families of spacelike Delaunay surfaces
inferredcites →https://doi.org/10.1112/blms/25.6.603openalex-extracted
Determinacy of the Envelope of the Osculating Hyperplanes to a Curve
inferredcites →https://doi.org/10.1112/jlms/s2-26.3.465openalex-extracted
Simple Singularities of Mappings C, 0 → C2 , 0
inferredcites →https://doi.org/10.1142/s0129167x1540008xopenalex-extracted
Intrinsic properties of surfaces with singularities
inferredcites →https://doi.org/10.1142/s0218216520500479openalex-extracted
Cuspidal edges with the same first fundamental forms along a knot
inferredcites →https://doi.org/10.1590/0001-3765201920170865openalex-extracted
Singular surfaces of revolution with prescribed unbounded mean curvature
inferredcites →https://doi.org/10.2140/pjm.2005.221.303openalex-extracted
Singularities of flat fronts in hyperbolic space
inferredcites →https://doi.org/10.2206/kyushujm.62.259openalex-extracted
BEHAVIOR OF CORANK-ONE SINGULAR POINTS ON WAVE FRONTS
inferredcites →https://doi.org/10.2748/tmj/1178229204openalex-extracted
Helicoidal surfaces with constant mean curvature
inferredcites →https://doi.org/10.2748/tmj/1458248863openalex-extracted
Isometric deformations of cuspidal edges
inferredcites →https://doi.org/10.2996/kmj/1572487230openalex-extracted
Geometric invariants of 5/2-cuspidal edges
inferredcites →https://doi.org/10.32917/hmj/1607396490openalex-extracted
Isometric deformations of wave fronts at non-degenerate singular points
inferredcites →https://doi.org/10.33044/revuma.3492openalex-extracted
Boundedness of geometric invariants near a singularity which is a suspension of a singular curve
inferredcites →https://doi.org/10.3836/tjm/1255958684openalex-extracted
Spacelike Helicoidal Surfaces with Constant Mean Curvature in Minkowski 3-space
inferredcites →https://doi.org/10.4007/annals.2009.169.491openalex-extracted
The geometry of fronts
inferredcites →https://doi.org/10.4153/cjm-2015-011-5openalex-extracted
Geometric Invariants of Cuspidal Edges
inferredcites →https://doi.org/10.48550/arxiv.1712.07330openalex-extracted
Singular surfaces of revolution with prescribed unbounded mean curvature
inferredcites →https://doi.org/10.48550/arxiv.2402.12166openalex-extracted
Classifications of cusps appearing on plane curves
inferredcites →https://doi.org/10.5427/jsing.2020.22eopenalex-extracted
Duality on generalized cuspidal edges preserving singular set images and first fundamental forms
inferredcites →https://doi.org/10.5860/choice.32-4553openalex-extracted
Geometric differentiation: for the intelligence of curves and surfaces
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