On parametrizations of loxodromes on time-like rotational surfaces in Minkowski space-time

DOI10.1142/S1793557121500807zbMath1472.53016OpenAlexW3029547413MaRDI QIDQ5001515

Murat Babaarslan, Murat Gümüş

Publication date: 22 July 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500807

zbMATH Keywords

Minkowski spacetimerotational surfaceloxodrome

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Spacelike Loxodromes on Helicoidal Surfaces in Lorentzian n--Space ⋮ Unnamed Item ⋮ Loxodromes on non-degenerate helicoidal surfaces in Minkowski space-time

Uses Software

• Mathematica

Cites Work

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• On conformal curves in 2-dimensional de Sitter space
• Space-like loxodromes on rotational surfaces in Minkowski 3-space
• Loxodromes and geodesics on rotational surfaces in a simply isotropic space
• SURFACES OF REVOLUTION WITH CONSTANT GAUSSIAN CURVATURE IN FOUR-SPACE
• Foundations of Hyperbolic Manifolds
• Loxodromes: A Rhumb Way to Go
• Loxodromes on helicoidal surfaces and tubes with variable radius in E⁴
• Timelike rotational surfaces of elliptic, hyperbolic and parabolic types in Minkowski space E41 with pointwise 1-type Gauss map

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