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Mathematical Communications, Vol. 14 No. 2, 2009.

Original scientific paper

Superconformal ruled surfaces in $\mathbb{E}^{4}$

Bengü Kiliç Bayram ; Department of Mathematics, Faculty of Science and Art, Balikesir University, Balikesir 10 145, Turkey
Betül Bulca ; Department of Mathematics, Uludağ University, Bursa-16 059, Turkey
Günay Öztürk ; Department of Mathematics, Kocaeli University, Kocaeli-41 310, Turkey

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Abstract

In the present study we consider ruled surfaces imbedded in a
Euclidean space of four dimensions. We also give some special
examples of ruled surfaces in $\mathbb{E}^{4}.$ Further, the
curvature properties of these surface are investigated with
respect to variation of normal vectors and curvature
ellipse. Finally, we give a necessary and sufficient condition for
ruled surfaces in $\mathbb{E}^{4}$ to become superconformal. We also show that superconformal ruled surfaces in $\mathbb{E}^{4}$ are Chen surfaces.

Keywords

ruled surface; curvature ellipse; superconformal surface

Hrčak ID:

44003

URI

https://hrcak.srce.hr/44003

Publication date:

9.12.2009.

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