3 papers
math.DG2026
Quantitative avoidance for free boundary flows and applications
Yueheng Bao, Robert Haslhofer
In this article, we introduce a new distance function between hypersurfaces with free boundary. We show that our new quantity, which we call twisted Fermi distance, is monotone und…
math.DG2026
Some Foundational Results for Free Boundary Brakke Flows
Yueheng Bao
In this paper, we establish some geometric and analytic foundations for free boundary Brakke flows. Specifically, we (i) introduce unit-regular and cyclic free boundary flows and s…
math.DG2026
Free boundary flow through cylindrical singularities
Yueheng Bao, Robert Haslhofer
We consider mean curvature flow with free boundary through cylindrical or half-cylindrical singularities, namely singularities of the types , $\mathbb{R…