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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 . The energy threshold is optimal and the inequality cannot be extended to surfa…
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…