Canal surfaces in 4-dimensional Euclidean space

Autor: Betül Bulca, Kadri Arslan, Bengü Bayram, Günay Öztürk
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: An International Journal of Optimization and Control: Theories & Applications, Vol 7, Iss 1, Pp 83-89 (2016)
Druh dokumentu: article
ISSN: 2146-0957
2146-5703
DOI: 10.11121/ijocta.01.2017.00338
Popis: 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.
Databáze: Directory of Open Access Journals