3 papers
math.DG2026
Ancient solutions to free boundary mean curvature flow
Theodora Bourni, Giada Franz
We establish rigidity results for ancient solutions to the free boundary mean curvature flow in manifolds with convex boundary. In particular, we show that any free boundary minima…
math.DG2026
Topological control for min-max free boundary minimal surfaces
Giada Franz, Mario B. Schulz
We establish general bounds on the topology of free boundary minimal surfaces obtained via min-max methods in compact, three-dimensional ambient manifolds with mean convex boundary…
math.DG2025
Unknottedness of free boundary minimal surfaces and self-shrinkers
Sabine Chu, Giada Franz
We study unknottedness for free boundary minimal surfaces in a three-dimensional Riemannian manifold with nonnegative Ricci curvature and strictly convex boundary, and for self-shr…