Evolutes of plane curves and null curves in Minkowski $3$-space

Autor:	Nolasco, Boaventura, Pacheco, Rui
Rok vydání:	2016
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We use the isotropic projection of Laguerre geometry in order to establish a correspondence between plane curves and null curves in the Minkowski $3$-space. We describe the geometry of null curves (Cartan frame, pseudo-arc parameter, pseudo-torsion, pairs of associated curves) in terms of the curvature of the corresponding plane curves. This leads to an alternative description of all plane curves which are Laguerre congruent to a given one.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.02117 Zobrazit plný text záznamu View this record from Arxiv