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

Simona Nistor; Cezar Oniciuc

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

Differential Geometry 2020-08-20 v2

Authors: Simona Nistor , Cezar Oniciuc

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.

Keywords

biconservative surfaces complete surfaces space forms uniqueness stress-bienergy tensor

Cite

@article{arxiv.1910.04131,
  title  = {On the uniqueness of complete biconservative surfaces in $3$-dimensional space forms},
  author = {Simona Nistor and Cezar Oniciuc},
  journal= {arXiv preprint arXiv:1910.04131},
  year   = {2020}
}

Comments

18 pages, 1 figure. We changed the title, abstract and introduction, and we added a new section. arXiv admin note: text overlap with arXiv:1909.12709

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