Rotational Surfaces in $\\mathbb R^4$ with New Approaches and Examples

Authors : Muhittin Evren Aydın, Lopez Rafael

Pages : 97-105

Doi:10.36890/iejg.1430210

View : 43 | Download : 64

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this paper, we give a new approach to the rotational minimal surfaces in $4$-dimensional Euclidean space $\\mathbb{R}^4$. One type of these surfaces is obtained by the composition of two families of rotations in orthogonal planes. For these surfaces, we give a new parameterization. Using this parametrization, we find new examples of rotational minimal surfaces and rotational surfaces with zero Gaussian curvature.
Keywords : Rotational surface, minimal surface, Gauss curvature