Yujie Wu - Application of Curvature Comparison Theorems in Minimal Surfaces @IhesFr
Yujie Wu - Application of Curvature Comparison Theorems in Minimal Surfaces  @IhesFr
Uploaded December 2025 | Updated September 2026, 3 weeks ago
We use generalized minimal or capillary hypersurfaces to study comparison theorems of certain class of positively curved manifolds (with boundary); this is also called Gromov's $\mu$-bubble method. We apply these results to obtain useful geometric bounds such as Urysohn width, bandwidth estimates, and study rigidity of (free boundary) minimal hypersurfaces.

Yujie Wu (Potsdam)

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Institut des Hautes Etudes Scientifiques (IHES) |

Yujie Wu - Application of Curvature Comparison Theorems in Minimal Surfaces

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