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arXiv · 1503.03817

On biconservative surfaces in 3-dimensional space forms

Dorel Fetcu·Simona Nistor·Cezar Oniciuc
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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.

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Dorel Fetcu, Simona Nistor, Cezar Oniciuc. 2015-03-12. On biconservative surfaces in 3-dimensional space forms. https://arxiv.org/abs/1503.03817

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