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arXiv 2017-11-20 1 views

On the uniqueness of complete biconservative surfaces in R³

Nistor, Simona · Oniciuc, Cezar

Original · EN

We study the uniqueness of complete biconservative surfaces in the Euclidean space R³, and prove that the only complete biconservative regular surfaces in R³ are either CMC or certain surfaces of revolution. In particular, any compact biconservative regular surface in R³ is a round sphere.

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