E. Kuwert

activity

20102022

most citedExistence of immersed spheres minimizing curvature functionals in compact 3-manifolds

22 citations · 34 across the 10 of their papers we have counts for

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Showing 2012 · math.DGShow all

2 papers · 2 filters

math.DG2012

On the Stability of the CMC Clifford Tori as Constrained Willmore Surfaces

Ernst Kuwert, Johannes Lorenz

The tori $T_{r} = r S^{1} \times s S^{1} \subset S^{3}$ , where $r^{2} + s^{2} = 1$ , are constrained Willmore surfaces, i.e. critical points of the Willmore functional among tori of the same co…

math.DG2012★ 7 cited

Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds

Andrea Mondino, Johannes Schygulla

We study curvature functionals for immersed 2-spheres in non-compact, three-dimensional Riemannian manifold $(M, h)$ without boundary. First, under the assumption that $(M, h)$ is th…