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arxiv: 1010.5795 · v1 · pith:ZGDSKRYWnew · submitted 2010-10-27 · 🧮 math.DG

Surfaces in E³ making constant angle with Killing vector fields

classification 🧮 math.DG
keywords angleconstantsurfaceskillingvectorcatenoidcertaincharacterize
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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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