Global properties of biconservative surfaces in $\mathbb{R}^3$ and $\mathbb{S}^3$

Simona Nistor; Cezar Oniciuc

Global properties of biconservative surfaces in $\mathbb{R}^3$ and $\mathbb{S}^3$

Differential Geometry 2017-04-17 v3

Authors: Simona Nistor , Cezar Oniciuc

Abstract

We survey some recent results on biconservative surfaces in $3$ -dimensional space forms $N^3(c)$ with a special emphasis on the $c=0$ and $c=1$ cases. We study the local and global properties of such surfaces, from extrinsic and intrinsic point of view. We obtain all non- $CMC$ complete biconservative surfaces in $\mathbb{R}^3$ and $\mathbb{S}^3$ .

Keywords

biconservative surfaces space forms global properties local properties non-CMC surfaces complete surfaces R^3 and S^3

Cite

@article{arxiv.1701.07706,
  title  = {Global properties of biconservative surfaces in $\mathbb{R}^3$ and $\mathbb{S}^3$},
  author = {Simona Nistor and Cezar Oniciuc},
  journal= {arXiv preprint arXiv:1701.07706},
  year   = {2017}
}

Comments

accepted in Proccedings Book of International Workshop on Theory of Submanifolds (Volume: 1 (2016)) June 2-4, 2016, Istanbul, Turkey

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