Time-like loxodromes on helicoidal surfaces in Minkowski 3-space

DOI10.2298/FIL1714405BzbMath1499.53017OpenAlexW2594209294WikidataQ125909312 ScholiaQ125909312MaRDI QIDQ5020421

Mustafa Kayacik, Murat Babaarslan

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1714405b

zbMATH Keywords

Minkowski spaceloxodromehelicoidal surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space ⋮ Loxodromes on non-degenerate helicoidal surfaces in Minkowski space-time ⋮ Bour's theorem of spacelike surfaces in Minkowski 4-space

Cites Work

• On Bézier surfaces in three-dimensional Minkowski space
• Helicoidal surfaces in three-dimensional Minkowski space
• Differential equations of the space-like loxodromes on the helicoidal surfaces in Minkowski 3-space
• Space-like loxodromes on rotational surfaces in Minkowski 3-space
• Helicoidal surfaces under the cubic screw motion in Minkowski 3-space
• Foundations of Hyperbolic Manifolds
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
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