On polar relative normalizations of ruled surfaces

Autor:	Papadopoulou, Ioanna-Iris, Stamatakis, Stylianos
Rok vydání:	2017
Předmět:	Mathematics - Differential Geometry 53A25 53A05 53A15 53A40
Druh dokumentu:	Working Paper
Popis:	This paper deals with skew ruled surfaces in the Euclidean space $\mathbb{E}^{3}$ which are equipped with polar normalizations, that is, relative normalizations such that the relative normal at each point of the ruled surface lies on the corresponding polar plane. We determine the invariants of a such normalized ruled surface and we study some properties of the Tchebychev vector field and the support vector field of a polar normalization. Furthermore, we study a special polar normalization, the relative image of which degenerates into a curve. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1711.11035 Zobrazit plný text záznamu View this record from Arxiv