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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Detalles Bibliográficos
Autor principal: Koc Ozturk, Esra Betul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121252/
https://www.ncbi.nlm.nih.gov/pubmed/25121129
http://dx.doi.org/10.1155/2014/618340
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author Koc Ozturk, Esra Betul
author_facet Koc Ozturk, Esra Betul
author_sort Koc Ozturk, Esra Betul
collection PubMed
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.
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spelling pubmed-41212522014-08-12 A Note on Parametric Surfaces in Minkowski 3-Space Koc Ozturk, Esra Betul ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014 2014-07-10 /pmc/articles/PMC4121252/ /pubmed/25121129 http://dx.doi.org/10.1155/2014/618340 Text en Copyright © 2014 Esra Betul Koc Ozturk. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Koc Ozturk, Esra Betul
A Note on Parametric Surfaces in Minkowski 3-Space
title 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_short A Note on Parametric Surfaces in Minkowski 3-Space
title_sort note on parametric surfaces in minkowski 3-space
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121252/
https://www.ncbi.nlm.nih.gov/pubmed/25121129
http://dx.doi.org/10.1155/2014/618340
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