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

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

2010-10-27

arxiv.org/abs/1010.5795v1

Mathematics

Differential Geometry

4 figures

Scientific paper

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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