Affiliation:
1. Bursa Uludağ Üniversitesi
Abstract
In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form. We obtain the classification theorem for these surfaces satisfying under this condition. Furthermore, we have given some special cases for the classification theorem by giving the radius function $r(u,v)$ with respect to the parameters $u$ and $v$.
Publisher
Universal Journal of Mathematics and Applications
Subject
Materials Chemistry,Economics and Econometrics,Media Technology,Forestry