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

preprint2010arXivOpen access

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

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