Search Results - "Kuwert, Ernst"

Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds by Kuwert, Ernst, Mondino, Andrea, Schygulla, Johannes

“…We study curvature functionals for immersed 2-spheres in a compact, three-dimensional Riemannian manifold M . Under the assumption that the sectional curvature…”
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Existence of minimizing Willmore surfaces of prescribed genus by Bauer, Matthias, Kuwert, Ernst

“…Let rβp ≥ 4π be the infimum of the Willmore functional, that is, the integral of the squared mean curvature, among orientable, closed, genus p surfaces…”
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Asymptotic Estimates for the Willmore Flow With Small Energy by Kuwert, Ernst, Scheuer, Julian

“…Kuwert and Schätzle showed in 2001 that the Willmore flow converges to a standard round sphere, if the initial energy is small. In this situation, we prove…”
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Curvature varifolds with orthogonal boundary by Kuwert, Ernst, Müller, Marius

“…We consider the class S⊥m(Ω)${\bf S}^m_\perp (\Omega)$ of m$m$‐dimensional surfaces in Ω¯⊂Rn$\overline{\Omega } \subset {\mathbb {R}}^n$ that intersect S=∂Ω$S…”
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Local solutions to a free boundary problem for the Willmore functional by Alessandroni, Roberta, Kuwert, Ernst

“…We consider a free boundary problem for the Willmore functional W ( f ) = 1 4 ∫ Σ H 2 d μ f . Given a smooth bounded domain Ω ⊂ R 3 , we construct Willmore…”
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On the stability of the CMC Clifford Tori as constrained Willmore surfaces by Kuwert, Ernst, Lorenz, Johannes

“…The tori , where r 2 + s 2 = 1 are constrained Willmore surfaces, i.e., critical points of the Willmore functional among tori of the same conformal type. We…”
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Removability of Point Singularities of Willmore Surfaces by Kuwert, Ernst, Schätzle, Reiner

“…We investigate point singularities of Willmore surfaces, which for example appear as blowups of the Willmore flow near singularities, and prove that closed…”
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Curvature Varifolds with Orthogonal Boundary by Kuwert, Ernst, Müller, Marius

“…We consider the class $S^m_\perp(\Omega)$ of $m$-dimensional surfaces in $\bar{\Omega} \subset {\mathbb R}^n$ which intersect $S = \partial \Omega$…”
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The Large Genus Limit of the Infimum of the Willmore Energy by Kuwert, Ernst, Li, Yuxiang, Schätzle, Reiner

“…The Willmore energy of a surface immersed into$\mathbb{R}^n $is the integral of its squared mean curvature. It is known that the infimum$\beta _p^n $of the…”
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Branch points of Willmore surfaces by Kuwert, Ernst, Schätzle, Reiner

“…We consider Willmore surfaces in R 3 with an isolated singularity of finite density at the origin. We show that locally, the surface is a union of finitely…”
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An area bound for surfaces in Riemannian manifolds by Bangert, Victor, Kuwert, Ernst

“…Let $M$ be a compact Riemannian manifold not containing any totally geodesic surface. Our main result shows that then the area of any complete surface immersed…”
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Reflection of Willmore surfaces with free boundaries by Kuwert, Ernst, Lamm, Tobias

“…Can. J. Math.-J. Can. Math. 73 (2021) 787-804 We study immersed surfaces in $\mathbb{R}^3$ which are critical points of the Willmore functional under boundary…”
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Asymptotic estimates for the Willmore flow with small energy by Kuwert, Ernst, Scheuer, Julian

“…Int. Math. Res. Not. 2021, no. 18, p. 14252--14266 Kuwert and Sch\"atzle showed in 2001 that the Willmore flow converges to a standard round sphere, if the…”
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Asymptotics of Willmore minimizers with prescribed small isoperimetric ratio by Kuwert, Ernst, Li, Yuxiang

“…We consider surfaces in ${\mathbb R}^3$ of type ${\mathbb S}^2$ which minimize the Willmore functional with prescribed isoperimetric ratio. The existence of…”
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Local solutions to a free boundary problem for the Willmore functional by Alessandroni, Roberta, Kuwert, Ernst

“…We consider a free boundary problem for the Willmore functional. Given a smooth domain $\Omega$ in ${\mathbb R}^3$, we construct Willmore disks wich are…”
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Association of Histocompatibility Haplotype HLA-A3-B7 with Multiple Sclerosis by Bertrams, Hans J, Kuwert, Ernst K

“…Tissue typing was performed on 1000 unrelated multiple sclerosis (MS) patients and 1000 unrelated healthy controls. In addition, segregation analysis of HLA…”
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Harmonic maps between flat surfaces with conical singularities by Kuwert, Ernst

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Harmonic maps between flat surfaces with conical singularities by Kuwert, Ernst

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On the Stability of the CMC Clifford Tori as Constrained Willmore Surfaces by Kuwert, Ernst, Lorenz, Johannes

“…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…”
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Minimization of conformally invariant energies in homotopy classes by Duzaar, Frank, Kuwert, Ernst

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