Focal representation of \(k\)-slant helices in \(\mathbb E^{m+1}\)

DOI10.1515/ausm-2015-0013zbMath1333.53007arXiv1305.2337OpenAlexW2962936012MaRDI QIDQ2634555

Kadri Arslan, Günay Öztürk, Betül Bulca, Bengü (Kılıç) Bayram

Publication date: 16 February 2016

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2337

zbMATH Keywords

slant helixFrenet curvefocal curve

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Darboux helices in three dimensional Lie groups ⋮ On k-type spacelike slant helices lying on lightlike surfaces

Cites Work

• Harmonic curvatures and generalized helices in \(\mathbb{E}^n\)
• Curves with constant curvature ratios
• Null generalized helices in \(\mathbb L^{m+2}\)
• On singularities, ``Perestroikas and differential geometry of space curves
• On vertices, focal curvatures and differential geometry of space curves
• Some Characterizations of Slant Helices in the Euclidean Space E^n
• A characterization of ccr-curves in R^m
• General helices and a theorem of Lancret
• On a Generalized Helix in a Riemannian n -Space
• Higher Curvatures of Curves in Euclidean Space
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