Title of article
Canal surfaces in 4-dimensional Euclidean space
Author/Authors
Bulca, Bet ̈ul Department of Mathematics - Uluda ̆g University, Turkey , Arslan, Kadri Department of Mathematics - Uluda ̆g University, Turkey , Bayram, Beng ̈u Department of Mathematics - Balikesir University, Turkey , ̈Ozt ̈urk, G ̈unay Department of Mathematics - Kocaeli University, Turkey
Pages
7
From page
83
To page
89
Abstract
In the present study, we consider canal surfaces imbedded in an Euclidean space of four dimensions. The curvature properties of these surface are investigated with respect to the variation of the normal vectors and curvature ellipse. We also give some special examples of canal surfaces in E^4. Further, we give necessary and sufficient condition for canal surfaces in E^4 to become superconformal. Finally, the visualization of the projections of canal surfaces in E^3 are presented.
Keywords
Canal surface , Curvature ellipse , Superconformal surface
Journal title
International Journal of Optimization and Control: Theories and Applications
Serial Year
2017
Full Text URL
Record number
2588923
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