Canal surfaces in 4-dimensional Euclidean space | Zendy

Betül Bulca | Zendy; Kadri Arslan | Zendy; Bengü Bayram | Zendy; Günay Öztürk | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Canal surfaces in 4-dimensional Euclidean space

Author(s) -

Betül Bulca,

Kadri Arslan,

Bengü Bayram,

Günay Öztürk

Publication year - 2016

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2017.00338

Subject(s) - ellipse , curvature , euclidean space , surface (topology) , space (punctuation) , euclidean geometry , geometry , visualization , mathematics , mathematical analysis , computer science , artificial intelligence , operating system

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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research