Loxodromes on helicoidal surfaces and tubes with variable radius in E⁴

DOI10.31801/cfsuasmas.455372zbMath1495.53018OpenAlexW2947963995MaRDI QIDQ5085763

Murat Babaarslan

Publication date: 27 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.455372

zbMATH Keywords

loxodromehelicoidal surfaceEuclidean \(4\)-spacetube with variable radius

Mathematics Subject Classification ID

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

Related Items (5)

Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Loxodromes on non-degenerate helicoidal surfaces in Minkowski space-time ⋮ On parametrizations of loxodromes on time-like rotational surfaces in Minkowski space-time

Cites Work

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• Split quaternion matrix representation of dual split quaternions and their matrices
• Some properties of the Clifford torus as rotation surfaces.
• Generalized rotation surfaces in \({\mathbb E^4}\)
• Analytic and algebraic properties of canal surfaces
• Canal surfaces in 4-dimensional Euclidean space
• Rotation surfaces with finite type Gauss map in \(E^4\)

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