Relation between Darboux Instantaneous Rotation Vectors of Curves on a Time-like Surface
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چکیده
In Euclidean 3-space, the Frenet and Darboux instantaneous rotation vectors for a curve (c) on the surface which the parameter curves are perpendicular to each other are known. Let us consider an arbitrary curve (c) and the parameter curves (Cl) , (cz) passing through a point P on surface. If the Darboux instantaneous rotation vectors of these curves are shown by W, WI and Wz respectively, then the following formula is valid [1]:
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تاریخ انتشار 2010