Journal for Geometry and Graphics 25 (2021), No. 1, 045--052
Copyright Heldermann Verlag 2021
Tubular Surfaces of Finite Type Gauss Map
Hassan Al-Zoubi
Department of Mathematics, Al-Zaytoonah University, Amman, Jordan
dr.hassanz@zuj.edu.jo
Tareq Hamadneh
Department of Mathematics, Al-Zaytoonah University, Amman, Jordan
t.hamadneh@zuj.edu.jo
Ma'mon Abu Hammad
Department of Mathematics, Al-Zaytoonah University, Amman, Jordan
m.abuhammad@zuj.edu.jo
Mutaz Al-Sabbagh
Department of Basic Engineering, Imam Abdulrahman bin Faisal University, Dammam, Saudi-Arabia
malsbbagh@iau.edu.sa
We continue the classification of finite type Gauss map surfaces in the 3-dimensional Euclidean space E3. To do this, we investigate an important family of surfaces, namely, tubular surfaces in E3. We show that the Gauss map of a tubular surface is of an infinite type regarding the second fundamental form.
Keywords: Tubular surface in Euclidean 3-space, surface of finite II-type, Laplace operator.
MSC: 53A05.
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