Surfaces in $\E^3$ making constant angle with Killing vector fields

Abstract

In the present paper we classify curves and surfaces in Euclidean $3-$space which make constant angle with a certain Killing vector field. Moreover, we characterize the catenoid and Dini's surface in terms of constant angle surfaces.

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References in corpus (2)

• Constant angle surfaces in Minkowski space
• Helicoidal surfaces in Minkowski space with constant mean curvature and constant Gauss curvature