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math.DG2026
Stable Free Boundary Minimal Hypersurfaces in and
Han Hong, Yujie Wu
In this paper, we prove that there is no complete two-sided stable immersed free boundary minimal hypersurface in the closed Euclidean unit ball for .
math.DG2025
Comparison Theorems and the Intermediate Ricci Curvature Assumption
Yujie Wu
We explore the notion of m-intermediate Ricci curvature assumption introduced by Brendle-Hirsch-Johne further. If a manifold has non-negative m-intermediate Ricci curvature and sta…
math.DG2025
Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds
Yujie Wu
We prove that in the unit ball of , there is no complete two-sided stable free boundary immersion. The result follows from a rigidity theorem of complete free boundar…
math.DG2024
Capillary Surfaces in Manifolds with Nonnegative Scalar Curvature and Strictly Mean Convex Boundary
Yujie Wu
In this paper we use stable capillary surfaces (analogous to the -bubble construction) to study manifolds with strictly mean convex boundary and nonnegative scalar curvature. We…