On the uniqueness of complete biconservative surfaces in $3$-dimensional space forms

Simona Nistor; Cezar Oniciuc

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arXiv · 1910.04131

On the uniqueness of complete biconservative surfaces in $3$-dimensional space forms

Simona Nistor·Cezar Oniciuc

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Abstract

Biconservative surfaces are surfaces with divergence-free stress-bienergy tensor. Simply connected, complete, non-$CMC$ biconservative surfaces in $3$-dimensional space forms were constructed working in extrinsic and intrinsic ways. Then, one raises the question of the uniqueness of such surfaces. In this paper we give a positive answer to this question.

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BibTeX RIS

Simona Nistor, Cezar Oniciuc. 2019-10-09. On the uniqueness of complete biconservative surfaces in $3$-dimensional space forms. https://arxiv.org/abs/1910.04131

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