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arXiv 2010-04-24 DOI 10.2478/s11533-011-0001-7 0 views

On certain surfaces in the Euclidean space E³

Munteanu, Marian Ioan · Nistor, Ana Irina

Original · EN

In the present paper we classify all surfaces in ³ with a canonical principal direction. Examples of these type of surfaces are constructed. We prove that the only minimal surface with a canonical principal direction in the Euclidean space E³ is the catenoid.

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