Surfaces given with the Monge patch in E4
Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
B Verkin Inst Low Temperature Physics and Engineering Nas Ukraine
Abstract
In the present paper we consider the surfaces in the Euclidean 4-space E-4 given with a Monge patch z = f (u, v), w = g(u, v) and study the curvature properties of these surfaces. We also give some special examples of these surfaces first defined by Yu. Aminov. Finally, we prove that every Aminov surface is a non-trivial Chen surface.
Description
Keywords
Mathematics, Physics, Monge patch, Translation surface, Chen surface
Citation
Bulca, B. ve Arslan, K. (2013). “Surfaces given with the Monge patch in E4”. Journal of Mathematical Physics, Analysis, Geometry, 9(4), 435-447.