Canal surfaces in 4-dimensional Euclidean space

Canal surfaces in 4-dimensional Euclidean space

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. Furth...

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Main Authors: Betül Bulca, Kadri Arslan, Bengü Bayram, Günay Öztürk
Format: Article
Language:English
Published: Balikesir University 2016-12-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Canal surface
Curvature ellipse
Superconformal surface
Online Access:http://ijocta.balikesir.edu.tr/index.php/files/article/view/338
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spelling doaj-98b3b5537fe7437281e40ca9717733892020-11-24T23:50:22ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications 2146-09572146-57032016-12-0171838910.11121/ijocta.01.2017.00338100Canal surfaces in 4-dimensional Euclidean spaceBetül Bulca0Kadri Arslan1Bengü Bayram2Günay Öztürk3Uludag UniversityUludag UniversityBalıkesir UniversityKocaeli UniversityIn 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.http://ijocta.balikesir.edu.tr/index.php/files/article/view/338Canal surfaceCurvature ellipseSuperconformal surface
collection DOAJ
language English
format Article
sources DOAJ
author Betül Bulca
Kadri Arslan
Bengü Bayram
Günay Öztürk
spellingShingle Betül Bulca
Kadri Arslan
Bengü Bayram
Günay Öztürk
Canal surfaces in 4-dimensional Euclidean space
An International Journal of Optimization and Control: Theories & Applications
Canal surface
Curvature ellipse
Superconformal surface
author_facet Betül Bulca
Kadri Arslan
Bengü Bayram
Günay Öztürk
author_sort Betül Bulca
title Canal surfaces in 4-dimensional Euclidean space
title_short Canal surfaces in 4-dimensional Euclidean space
title_full Canal surfaces in 4-dimensional Euclidean space
title_fullStr Canal surfaces in 4-dimensional Euclidean space
title_full_unstemmed Canal surfaces in 4-dimensional Euclidean space
title_sort canal surfaces in 4-dimensional euclidean space
publisher Balikesir University
series An International Journal of Optimization and Control: Theories & Applications
issn 2146-0957
2146-5703
publishDate 2016-12-01
description 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.
topic Canal surface
Curvature ellipse
Superconformal surface
url http://ijocta.balikesir.edu.tr/index.php/files/article/view/338
work_keys_str_mv AT betulbulca canalsurfacesin4dimensionaleuclideanspace
AT kadriarslan canalsurfacesin4dimensionaleuclideanspace
AT bengubayram canalsurfacesin4dimensionaleuclideanspace
AT gunayozturk canalsurfacesin4dimensionaleuclideanspace
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