Ruled surfaces obtained by bending of curves

Authors: UĞUR GÖZÜTOK, HÜSNÜ ANIL ÇOBAN, YASEMİN SAĞIROĞLU

Abstract: We consider a first-order infinitesimal bending of a curve in $\mathbb{R}^3$ to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

Keywords: Ruled surfaces, bending of curves, developable surfaces

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