16 citations · 53 across the 9 of their papers we have counts for
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math.AP2021★ 7 cited
Optimal thresholds for preserving embeddedness of elastic flows
Tatsuya Miura, Marius Müller, Fabian Rupp
We consider elastic flows of closed curves in Euclidean space. We obtain optimal energy thresholds below which elastic flows preserve embeddedness of initial curves for all time. T…
math.AP2021★ 6 cited
The Willmore flow with prescribed isoperimetric ratio
Fabian Rupp
We introduce a non-local -gradient flow for the Willmore energy of immersed surfaces which preserves the isoperimetric ratio. For spherical initial data with energy below an e…
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 with Willmore energy below has to be embedded. We discuss analogous results for curves i…