The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space

The Ruled Surfaces According to Bishop Frame in Minkowski 3-Space

We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures. We give some results and theorems related to be developable and minimal of them. Furthermore, we show that, if t...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.968-972-1097
1. Verfasser: Yuksel, Nural
Format: Artikel
Sprache:eng
Schlagworte:
Curvature
Curves
Distribution (Probability theory)
Frames
Mathematical analysis
Mathematical research
Metric spaces
Straight lines
Studies
Theorems
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Beschreibung
Zusammenfassung:We investigate the ruled surfaces generated by a straight line in Bishop frame moving along a spacelike curve in Minkowski 3-space. We obtain the distribution parameters, mean curvatures. We give some results and theorems related to be developable and minimal of them. Furthermore, we show that, if the base curve of the ruled surface is also an asymtotic curve and striction line, then the ruled surface is developable.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/810640