Complete biconservative surfaces in the hyperbolic space $\mathbb{H}^3$

27 Sep 2019 Nistor Simona Oniciuc Cezar

We construct simply connected, complete, non-$CMC$ biconservative surfaces in the $3$-dimensional hyperbolic space $\mathbb{H}^3$ in an intrinsic and extrinsic way. We obtain three families of such surfaces, and, for each surface, the set of points where the gradient of the mean curvature function does not vanish is dense and has two connected components... (read more)

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  • DIFFERENTIAL GEOMETRY