Tubes of finite $II$-type Gauss map

Abstract

In this paper, we continue the classification of finite type Gauss map surfaces in the 3-dimensional Euclidean space ${\mathbb{E}}^3$. We present an important family of surfaces, namely, tubes in ${\mathbb{E}}^3$. We show that the Gauss map of a tube is of an infinite type corresponding to the second fundamental form.

arXiv admin note: text overlap with arXiv:1902.08247

References in corpus (1)

• Quadric surfaces of coordinate finite type Gauss map