In this paper, we classify evolute offsets of a ruled surface in Minkowski 3-space L with constant Gaussian curvature and mean curvature. As a result, we investigate linear Weingarten evolute offsets of a ruled surface in L .

Guan-Ren-Wang [Comm. Pure Appl. Math. 68 (2015), pp. 1287–1325] established the curvature estimate of convex hypersurface satisfying Weingarten equation <mml...

We prove that any strongly regular Weingarten surface in Euclidean space carries locally geometric principal parameters. The basic theorem states that any strongly regular Weingarten surface is determined up to a motion by its structural functions and the normal curvature function satisfying a geometric differential equation. We apply these results to the special Weingarten surfaces: minimal su...