Existence conditions of framed curves for smooth curves

DOI10.1007/s00022-017-0371-5zbMath1375.53004OpenAlexW2580072804MaRDI QIDQ2410153

Tomonori Fukunaga, Masatomo Takahashi

Publication date: 17 October 2017

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

Full work available at URL: http://hdl.handle.net/10258/00009474

zbMATH Keywords

polygonsmooth curveframed curveframed base curve

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04)

Related Items (11)

Deformation of framed curves with boundary conditions ⋮ Spinor representation of framed Mannheim curves ⋮ Framed Curves and Their Applications Based on a New Differential Equation ⋮ Framed surfaces and one-parameter families of framed curves in Euclidean 3-space ⋮ On the classification of framed rectifying curves in Euclidean space ⋮ Generalized osculating‐type ruled surfaces of singular curves ⋮ Evolutes and focal surfaces of framed immersions in the Euclidean space ⋮ Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space ⋮ Framed curves in three-dimensional Lie groups and a Berry phase model ⋮ ON FRAMED TZITZEICA CURVES IN EUCLIDEAN SPACE ⋮ Equi-affine plane curves with singular points

Uses Software

• CandS

Cites Work

• Existence and uniqueness for Legendre curves
• Framed curves in the Euclidean space
• There is More than One Way to Frame a Curve
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