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 2010 · math.DGShow all

3 papers · 2 filters

math.DG2010

Minimizers of the Willmore functional under fixed conformal class

Ernst Kuwert, Reiner Schätzle

We consider the problem of minimizing the Willmore energy in the class of conformal immersions of a given closed, genus p Riemann surface into R^n for n=3,4. We prove existence of…

math.DG2010

Closed surfaces with bounds on their Willmore energy

Ernst Kuwert, Reiner Schätzle

The Willmore energy of a closed surface in R^n is the integral of its squared mean curvature, and is invariant uner Möbius transformations of R^n. We show that any torus in R^3 wit…

math.DG2010★ 3 cited

$W^{2, 2}$ -conformal immersions of a closed Riemann surface into $R^{n}$

Ernst Kuwert, Yuxiang Li

We study sequences $f_{k} : Σ_{k} \to R^{n}$ of conformally immersed, compact Riemann surfaces with fixed genus and Willmore energy $W (f) \leq Λ$ . Assume that $Σ_{k}$ converges to $Σ…

Minimizers of the Willmore functional under fixed conformal class

Closed surfaces with bounds on their Willmore energy

W2,2-conformal immersions of a closed Riemann surface into Rn

$W^{2, 2}$ -conformal immersions of a closed Riemann surface into $R^{n}$