A new approach to canal surface with parallel transport frame

DOI10.1142/S0219887817500268zbMath1357.53014OpenAlexW2533543394WikidataQ125717329 ScholiaQ125717329MaRDI QIDQ2958896

İlim Kişi, Günay Öztürk

Publication date: 3 February 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887817500268

zbMATH Keywords

normal curvaturecurvature ellipseparallel transport frame

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07)

Related Items (7)

Unnamed Item ⋮ On Bishop frame of a null Cartan curve in Minkowski space-time ⋮ Tubular Surface Having Pointwise 1-type Gauss Map in Euclidean 4-Space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Bishop frame of a pseudo null curve in Minkowski space-time ⋮ SPACELIKE TRANSLATION SURFACES IN MINKOWSKI 4-SPACE E_1^4

Cites Work

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• Orthogonal asymptotic lines on surfaces immersed in \(\mathbb{R}^4\)
• Algebraic properties of plane offset curves
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• All superconformal surfaces in \({\mathbb R^4}\) in terms of minimal surfaces
• Blending two cones with Dupin cyclides
• Analysis and applications of pipe surfaces
• Mean directionally curved lines on surfaces immersed in \(\mathbb{R}^4\)
• The geometry of surfaces in 4-space from a contact viewpoint
• Analytic properties of plane offset curves
• Parallel Transport Frame in 4-dimensional Euclidean Space
• There is More than One Way to Frame a Curve
• Canal surfaces in 4-dimensional Euclidean space
• Contributions to the Theory of Surfaces in a 4-Space of Constant Curvature

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