Differential geometry of curves in dual space

Autor:	López, Rafael
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry Primary 53A10 Secondary 53C21 53C42
Druh dokumentu:	Working Paper
Popis:	We introduce the Frenet theory of curves in dual space $\d^3$. After defining the curvature and the torsion of a curve, we classify all curves in dual plane with constant curvature. We also establish the fundamental theorem of existence in the theory of dual curves, proving that there is a dual curve with prescribed curvature and torsion. Finally we classify all dual curves with constant curvature and torsion. Comment: 14 pages, 3 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.19494 Zobrazit plný text záznamu View this record from Arxiv