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

Marian Ioan Munteanu; Ana Irina Nistor

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arXiv · 1010.5795

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

Marian Ioan Munteanu·Ana Irina Nistor

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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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BibTeX RIS

Marian Ioan Munteanu, Ana Irina Nistor. 2010-10-27. Surfaces in $\E^3$ making constant angle with Killing vector fields. https://arxiv.org/abs/1010.5795

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