Marius Müller

activity

20202026

most citedThe Willmore Flow of Tori of Revolution

13 citations · 25 across the 9 of their papers we have counts for

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3 papers · 1 filter

math.DG2023

Short closed geodesics and the Willmore energy

Marius Müller, Fabian Rupp, Christian Scharrer

We prove a lower bound on the length of closed geodesics for spheres with Willmore energy below $6 π$ . The energy threshold is optimal and the inequality cannot be extended to surfa…

math.DG2022

Curvature Varifolds with Orthogonal Boundary

Ernst Kuwert, Marius Müller

We consider the class $S_{⊥}^{m} (Ω)$ of $m$ -dimensional surfaces in $Ω ˉ \subset R^{n}$ which intersect $S = \partial Ω$ orthogonally along the boundary. A piece of an af…

math.DG2021★ 4 cited

A Li-Yau inequality for the 1-dimensional Willmore energy

Marius Müller, Fabian Rupp

By the classical Li-Yau inequality, an immersion of a closed surface in $R^{n}$ with Willmore energy below $8 π$ has to be embedded. We discuss analogous results for curves i…