Surfaces Given with the Monge Patch in E⁴

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2013
• Main Authors: Bulca, B., Arslan, K.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106765
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Surfaces Given with the Monge Patch in E⁴ / B. Bulca, K. Arslan // Журнал математической физики, анализа, геометрии. — 2013. — Т. 9, № 4. — С. 435-44. — Бібліогр.: 18 назв. — англ.

In the present paper we consider the surfaces in the Euclidean 4-space E⁴ 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 surf...