4 citations · 9 across the 7 of their papers we have counts for
7 papers
Hopf Reduction and Multiplicity-Resolved Endpoints for the Classical Willmore Flow of Hopf Tori
Mohameden Ahmedou, Ruben Jakob
We establish an exact parametrized reduction of the classical Willmore flow of Hopf tori in the round three-sphere to the spherical elastic flow. In Willmore-flow time the reductio…
Uniqueness of Finite-Time Varifold Limits for the Möbius-Invariant Willmore Flow
Mohameden Ahmedou, Ruben Jakob
We prove uniqueness of finite-time geometric endpoints for the Möbius-invariant Willmore flow in under uniform quantitative nonumbilicity. The multiplicity-counting…
Corrections to: "The Willmore flow of Hopf-tori in the 3-sphere"
Ruben Jakob
This erratum addresses a logical mistake in the author's article [Jakob, R. The Willmore flow of Hopf-tori in the -sphere. Journal of Evolution Equations 23, No. 72 (2023)] whic…
Singularities and full convergence of the Möbius-invariant Willmore flow in the -sphere
Ruben Jakob
Here we continue the investigation of the Möbius-invariant Willmore flow (MIWF), starting to move in arbitrary smooth and umbilic-free initial immersions which map some fixed…
Global existence and full convergence of the Möbius-invariant Willmore flow in the -sphere
Ruben Jakob
In this article, we prove two "global existence and full convergence theorems" for flow lines of the Möbius-invariant Willmore flow, and we use these results, in order to prove tha…
Functional analytic properties and regularity of the Möbius-invariant Willmore flow in
Ruben Jakob
In this article we continue the author's investigation of the Möbius-invariant Willmore flow moving parametrizations of umbilic-free tori in and in the -sphere $\…