Ruled surfaces obtained by infinitesimal bendings of curves in Minkowski 3-space

DOI10.1142/s0219887824502554MaRDI QIDQ6665259

An Sook Shin, Hyelim Han, Youngsong Jang

Publication date: 17 January 2025

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

ruled surfacedevelopable surfacetimelike curveinfinitesimal bending fieldlightlike curve

Mathematics Subject Classification ID

Differential geometry (53-XX) Relativity and gravitational theory (83-XX)

Cites Work

• Infinitesimal rigidity of submanifolds
• Singularities of \(\mathbb{R} P^2\)-valued Gauss maps of surfaces in Minkowski 3-space
• Moving frames and the characterization of curves that lie on a surface
• Flexibility of curves on a single-sheet hyperboloid
• Infinitesimal rigidity of hyperquadrics in semi-Euclidean space
• LIGHTLIKE DEVELOPABLES IN MINKOWSKI 3-SPACE
• Infinitesimal bending of DNA helices
• Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space
• Developable surfaces in contemporary architecture
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