Differential geometry of non-transversal intersection curves of three implicit hypersurfaces in Euclidean 4-space

DOI10.1016/j.cam.2016.05.011zbMath1350.53005OpenAlexW4214821422WikidataQ115359817 ScholiaQ115359817MaRDI QIDQ738950

B. Uyar Düldül, Sayed Abdel-Naeim Badr, Nassar H. Abdel-All, Mustafa Düldül, Osmar Aléssio

Publication date: 16 August 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.05.011

zbMATH Keywords

geometric propertiesintersectiontangential intersectionimplicit curvesnon-transversal intersection

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Intersection curve of two parametric surfaces in Euclidean n-space ⋮ Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space

Cites Work

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• Can we find Willmore-like method for the tangential intersection problems?
• Intersection curves of hypersurfaces in \(\mathbb R^4\)
• Willmore-like methods for the intersection of parametric (hyper)surfaces
• Harmonic curvatures and generalized helices in \(\mathbb{E}^n\)
• Classification and resolution of critical cases in Grandine and Klein's topology determination using a perturbation method
• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• On the intersection curve of three parametric hypersurfaces
• Procedural method for evaluating the intersection curves of two parametric surfaces
• Differential geometry of intersection curves of two surfaces
• Differential geometry of non-transversal intersection curves of three parametric hypersurfaces in Euclidean 4-space
• Comprehensive study of intersection curves in \(\mathbb R^4\) based on the system of ODEs
• Non-transversal intersection curves of hypersurfaces in Euclidean 4-space
• Spacelike intersection curve of three spacelike hypersurfaces in \(E^4_1\)
• Curvature formulas for implicit curves and surfaces

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