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math.DG2025
Self-Expanding Solutions to the Mean Curvature Flow for Multiphase Surfaces with Regular Junctions
Wei-Hung Liao
We consider a multiphase surface in consisting of a finite number of surfaces passing through the origin , where all 1-dimensional junctions are regu…
math.DG2016
Long Time Existence of the Cross Curvature Flow in 3-Manifolds with Negative Sectional Curvature
Wei-Hung Liao
Given a closed 3-manifold with an initial Riemannian metric of negative sec- tional curvature, we consider the cross curvature flow an evolution equation of metric on M3. We prove…