Extension of the Darboux frame into Euclidean 4-space and its invariants

DOI10.3906/mat-1604-56zbMath1424.53003OpenAlexW2769090376MaRDI QIDQ4633719

Mustafa Düldül, Ertuǧrul Özdamar, Bahar Uyar Düldül, Nuri Kuruoǧlu

Publication date: 3 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1604-56

zbMATH Keywords

curvaturescurves on hypersurfaceDarboux frame field

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 (7)

Darboux vector in four-dimensional space-time ⋮ A new method for finding the shape operator of a hypersurface in Euclidean 4-space ⋮ Unnamed Item ⋮ A new version of energy and elastica for curves with extended darboux frame ⋮ Singularity properties of Lorentzian Darboux surfaces in Lorentz-Minkowski spacetime ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• On the intersection curve of three parametric hypersurfaces
• Higher Curvatures of Curves in Euclidean Space
• A Triple Product of Vectors in Four-Space
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