A new characterization of null scrolls as parallel surfaces

DOI10.1142/s0219887822500025OpenAlexW3209461330MaRDI QIDQ6187543

Yasin Ünlütürk

Publication date: 31 January 2024

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

Full work available at URL: https://doi.org/10.1142/s0219887822500025

zbMATH Keywords

ruled surfacecurvaturenull scrollstriction curveframe vector fields

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Equations of motion in general relativity and gravitational theory (83C10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• The integral invariants of parallel timelike ruled surfaces
• Null scrolls with spacelike harmonic evolutes in Lorentz-Minkowski space
• Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space
• Ruled surfaces with lightlike ruling in 3-Minkowski space
• Harmonic evolutes of B-scrolls with constant mean curvature in Lorentz–Minkowski space
• Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space
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