Superconformal ruled surfaces in E4
Date
2009-12
Authors
Bayram, Bengü Kılıç
Öztürk, Günay
Journal Title
Journal ISSN
Volume Title
Publisher
University Osijek
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 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 E-4 to become superconformal. We also show that superconformal ruled surfaces in E-4 are Chen surfaces.
Description
Keywords
Curvature ellipse, Ruled surface, Superconformal surface, Geometry, Mathematics
Citation
Bayram, B. K. vd. (2009). "Superconformal ruled surfaces in E4". Mathematical Communications, 14(2), 235-244.