Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame

DOI10.1007/s11253-021-01953-8zbMath1486.53023OpenAlexW4225569894MaRDI QIDQ2058580

Murat Bekar, Fouzi Hathout, Yusuf Yayli

Publication date: 9 December 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01953-8

zbMATH Keywords

cuspidal edgeswallowtailFrenet-Serret framecone surfacecuspidal crosscapsingularities of ruled surfaces

Mathematics Subject Classification ID

Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Cites Work

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• Rotation Minimizing Vector Fields and Frames in Riemannian Manifolds
• Ruled surfaces and tangent bundle of unit 2-sphere

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