Not Only Scalar Curvature Seminar

Collection Not Only Scalar Curvature Seminar

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Application of Curvature Comparison Theorems in Minimal Surfaces

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.

Information about the video

Date of recording 03/12/2025
Date of publication 05/12/2025
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Differential Geometry

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