Authors: Simona Nistor, Cezar Oniciuc

DOI: 10.24064/iwts2016.2017.1

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 $\mathbb S^3$.

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