SURFACE FAMILY WITH COMMON LINE OF CURVATURE IN 3-DIMENSIONAL GALILEAN SPACE

Mustafa Altin, İnan Ünal

DOI Number
https://doi.org/10.22190/FUMI2005315A
First page
1315
Last page
1325

Abstract


In this paper we study to find parametric presentation of a surface family with common line of curvature in 3-dimensional Galilean space. We obtain necessary and sufficient conditions for the curve to be a common line of curvature on this surface. We state examples to visualize our results and we obtain some results for a torsion free curve.


Keywords

surface family; curvature; 3-dimensional Galilean space.

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References


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DOI: https://doi.org/10.22190/FUMI2005315A

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