Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space

DOI10.1007/s00022-012-0124-4zbMath1269.53023OpenAlexW2107496068MaRDI QIDQ1926124

Takami Sato

Publication date: 27 December 2012

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-012-0124-4

zbMATH Keywords

Lorentz-Minkowski spacecurves on a space-like surfacepseudo-spherical evolute

Mathematics Subject Classification ID

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

Related Items (9)

Curves in a spacelike hypersurface in Minkowski space-time ⋮ Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space ⋮ Unnamed Item ⋮ Recognizable classification of Lorentzian distance-squared mappings ⋮ Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space ⋮ Lorentzian Darboux images of curves on spacelike surfaces in Lorentz–Minkowski 3-space ⋮ On evolutoids and pedaloids in Minkowski 3-space ⋮ On special kinds of involute and evolute curves in 4-dimensional Minkowski space ⋮ On involute-evolute curve couple in the hyperbolic and de Sitter spaces

Cites Work

• Evolutes of hyperbolic plane curves
• Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space
• The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
• SINGULARITIES OF EVOLUTES OF HYPERSURFACES IN HYPERBOLIC SPACE

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