Tubes of finite IIII-type Gauss map

preprint2020arXivOpen access

Abstract

In this paper, we continue the classification of finite type Gauss map surfaces in the 3-dimensional Euclidean space E3\mathbb{E}^{3}. We present an important family of surfaces, namely, tubes in E3\mathbb{E}^{3}. We show that the Gauss map of a tube is of an infinite type corresponding to the second fundamental form.

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