Conoid Surfaces Family in Three-Dimensional Euclidean Space
Abstract views: 39 / PDF downloads: 18
Keywords:Euclidean 3-Space, Conoid Surfaces Family, Gauss Map, Curvatures, Laplace−Beltrami Operator
In this research, we investigate a specific family of conoid surfaces within the three-dimensional Euclidean space E3. We consider the differential geometry of the family. We determine the curvatures of these particular surfaces. Moreover, we provide the necessary conditions for minimality within this framework. Additionally, we compute the Laplace−Beltrami operator for this family and present an example.