On biconservative surfaces in 3-dimensional space forms

Dorel Fetcu; Simona Nistor; Cezar Oniciuc

On biconservative surfaces in 3-dimensional space forms

Differential Geometry 2015-03-18 v2

Authors: Dorel Fetcu , Simona Nistor , Cezar Oniciuc

Abstract

We consider biconservative surfaces $\left(M^2,g\right)$ in a space form $N^3(c)$ , with mean curvature function $f$ satisfying $f>0$ and $\nabla f\neq 0$ at any point, and determine a certain Riemannian metric $g_r$ on $M$ such that $\left(M^2,g_r\right)$ is a Ricci surface in $N^3(c)$ . We also obtain an intrinsic characterization of these biconservative surfaces.

Keywords

surfaces with constant mean curvature ricci curvature and riemannian geometry riemannian geometry

Cite

@article{arxiv.1503.03817,
  title  = {On biconservative surfaces in 3-dimensional space forms},
  author = {Dorel Fetcu and Simona Nistor and Cezar Oniciuc},
  journal= {arXiv preprint arXiv:1503.03817},
  year   = {2015}
}

Comments

13 pages. We have rephrased some statements in Section 3 in a clearer way

On biconservative surfaces in 3-dimensional space forms

Abstract

Keywords

Cite

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