A Note on Parametric Surfaces in Minkowski 3-Space

A Note on Parametric Surfaces in Minkowski 3-Space

With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that th...

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Main Author: Esra Betul Koc Ozturk
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/618340
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spelling doaj-1869bfe4abcf4a5e94372700522734382020-11-24T22:09:23ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/618340618340A Note on Parametric Surfaces in Minkowski 3-SpaceEsra Betul Koc Ozturk0Department of Mathematics, Faculty of Sciences, University of Çankiri Karatekin, 18100 Çankiri , TurkeyWith the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.http://dx.doi.org/10.1155/2014/618340
collection DOAJ
language English
format Article
sources DOAJ
author Esra Betul Koc Ozturk
spellingShingle Esra Betul Koc Ozturk
A Note on Parametric Surfaces in Minkowski 3-Space
The Scientific World Journal
author_facet Esra Betul Koc Ozturk
author_sort Esra Betul Koc Ozturk
title A Note on Parametric Surfaces in Minkowski 3-Space
title_short A Note on Parametric Surfaces in Minkowski 3-Space
title_full A Note on Parametric Surfaces in Minkowski 3-Space
title_fullStr A Note on Parametric Surfaces in Minkowski 3-Space
title_full_unstemmed A Note on Parametric Surfaces in Minkowski 3-Space
title_sort note on parametric surfaces in minkowski 3-space
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
description With the help of the Frenet frame of a given pseudo null curve, a family of parametric surfaces is expressed as a linear combination of this frame. The necessary and sufficient conditions are examined for that curve to be an isoparametric and asymptotic on the parametric surface. It is shown that there is not any cylindrical and developable ruled surface as a parametric surface. Also, some interesting examples are illustrated about these surfaces.
url http://dx.doi.org/10.1155/2014/618340
work_keys_str_mv AT esrabetulkocozturk anoteonparametricsurfacesinminkowski3space
AT esrabetulkocozturk noteonparametricsurfacesinminkowski3space
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