Publication: On translation surfaces in 4-dimensional euclidean space
Date
Authors
Authors
Bayram, Bengü
Öztürk, Günay
Advisor
Language
Type
Publisher:
Univ Tartu Press
Journal Title
Journal ISSN
Volume Title
Abstract
We consider translation surfaces in Euclidean spaces. Firstly, we give some results of translation surfaces in the 3-dimensional Euclidean space E-3. Further, we consider translation surfaces in the 4-dimensional Euclidean space E-4. We prove that a translation surface is flat in E-4 if and only if it is either a hyperplane or a hypercylinder. Finally we give necessary and sufficient condition for a quadratic triangular Bezier surface in E-4 to become a translation surface.
Description
Source:
Keywords:
Keywords
Form, Translation surface, Mean curvature, Gaussian curvature, Second fundamental map, Science & technology, Physical sciences, Mathematics