On biconservative surfaces in 3-dimensional space forms

2015/03/12 by Fetcu, Dorel, Nistor, Simona, Oniciuc, Cezar · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.03817

Abstract

We consider biconservative surfaces (M²,g) in a space form N³(c), with mean curvature function f satisfying f>0 and ∇ f≠ 0 at any point, and determine a certain Riemannian metric g_r on M such that (M²,g_r) is a Ricci surface in N³(c). We also obtain an intrinsic characterization of these biconservative surfaces.

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