Some characterizations of generalized null Mannheim curves in semi-Euclidean space

DOI10.7546/jgsp-55-2020-1-20zbMath1448.53013OpenAlexW3033675557MaRDI QIDQ2003859

Nihal Kılıç Aslan, Kāzim İlarslan

Publication date: 5 October 2020

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jgsp/1591257612

zbMATH Keywords

space-like curvetime-like curvesemi-Euclidean spaceCartan null curvegeneralized Mannheim curve

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• On null and pseudo null Mannheim curves in Minkowski 3-space
• Generalized timelike Mannheim curves in Minkowski space-time \(E_{1}^{4}\)
• Singularities of lightlike hypersurface in semi-Euclidean 4-space with index 2
• Generalized Mannheim curves in Minkowski space-time \(E_{1}^{4}\)
• On generalized Mannheim curves in Euclidean 4-space
• On generalized spacelike Mannheim curves in Minkowski space-time
• Curves in the Lorentz-Minkowski plane: elasticae, catenaries and grim-reapers
• Mannheim partner curves in 3-space
• On partially null and pseudo null curves in the semi-Euclidean space \(\mathbb{R}^4_2\)
• MANNHEIM CURVES IN 3-DIMENSIONAL SPACE FORMS
• Spacelike and timelike normal curves in Minkowski space-time
• On Generalized Timelike Mannheim Curves in Minkowski Space-time
• On generalized null Mannheim curves in Minkowski space-time
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