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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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-6
1. Verfasser: Koc Ozturk, Esra Betul
Format: Artikel
Sprache:eng
Schlagworte:
Computer Simulation
Mathematical Concepts
Mathematical research
Models, Theoretical
Surface Properties
Topological spaces
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Zusammenfassung: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.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/618340