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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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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.AP2011

Two-dimensional curvature functionals with superquadratic growth

Ernst Kuwert, Tobias Lamm, Yuxiang Li

For two-dimensional, immersed closed surfaces , we study the curvature functionals and with integrands and $(1+…