34 citations · 63 across the 3 of their papers we have counts for
3 papers
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 without boundary. First, under the assumption that is th…
math.DG2011★ 22 cited
Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds
Ernst Kuwert, Andrea Mondino, Johannes Schygulla
We study curvature functionals for immersed 2-spheres in a compact, three-dimensional Riemannian manifold M. Under the assumption that the sectional curvature of M is strictly posi…
math.DG2011★ 34 cited
Willmore minimizers with prescribed isoperimetric ratio
Johannes Schygulla
Motivated by a simple model for elastic cell membranes, we minimize the Willmore functional among two-dimensional spheres embedded in R^3 with prescribed isoperimetric ratio.