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

Nural Yüksel | Zendy

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

Author(s) -

Nural Yüksel

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/810640

Subject(s) - ruled surface , mathematics , minkowski space , developable surface , surface (topology) , geometry , space (punctuation) , frame (networking) , mathematical analysis , line (geometry) , base (topology) , frenet–serret formulas , distribution (mathematics) , pure mathematics , curvature , telecommunications , philosophy , linguistics , computer science

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

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