Bisector Surfaces Through A Common Line of Curvatures and Its Classifications

Abstract

In this paper, we study the Bisector surface, which defines the line of curvature on a surface play an importance role. Firstly, the Bisector surface constructed by a point and a space curve given in Euclidean 3-space. Then, it is investigated that the necessary and sufficient condition for directrix curve of this surface to satisfy line of curvature. After this, we classify the Bisector surfaces.

Keywords

• Bisector surface,Ruled surface,line of curvature

References

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