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Nihat Ayyi ldi z,Ahmet Y 대한수학회 2006 대한수학회지 Vol.43 No.6
This paper develops in detail the dierential geometryof ruled surfaces from two perspectives, and presents the under-lying relations which unite them. Both scalar and dual curvaturefunctions which dene the shape of a ruled surface are derived.Explicit formulas are presented for the computation of these func-tions in both formulations of the dierential geometry of ruled sur-faces. Also presented is a detailed analysis of the ruled surface whichcharacterizes the shape of a general ruled surface in the same waythat osculating circle characterizes locally the shape of a non-nullLorentzian curve.