Abstract

In the present paper, we study evolute offsets of a non-developable ruled surface in Euclidean 3-space E and classify the evolute offset with constant Gaussian curvature and constant mean curvature. In last section, we investigate linear Weingarten evolute offsets in E . A linear Weingarten surface is the surface having a linear equation between the Gaussian curvature and the mean curvature of a surface. AMS Subject Classification: 53C30, 53B25

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