Frontal partner curves on unit sphere \(S^2\)

DOI10.1007/s10114-020-9312-6zbMath1448.53016OpenAlexW3046702156MaRDI QIDQ2199113

Tanju Kahraman

Publication date: 16 September 2020

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-020-9312-6

zbMATH Keywords

Legendre curvessphericalfrontalspartner curves

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Other special differential geometries (53A40)

Cites Work

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• Framed curves in the Euclidean space
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• On the theory of fronts on the 2-sphere and the theory of space curves
• Evolutes and involutes of frontals in the Euclidean plane
• Some characterizations of Mannheim partner curves in the Minkowski 3-spaceE₁³
• Evolutes of fronts in the Euclidean plane
• Legendre curves in the unit spherical bundle over the unit sphere and evolutes
• There is More than One Way to Frame a Curve
• Envelopes of legendre curves in the unit spherical bundle over the unit sphere
• The geometry of spherical curves and the algebra of quaternions

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