Not Only Scalar Curvature Seminar

Collection Not Only Scalar Curvature Seminar

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3-Manifolds with positive scalar curvature and bounded geometry

We show that a complete contractible 3-manifold with positive scalar curvature and bounded geometry must be $R^3$. We also show that an open handlebody of genus larger than 1 does not admit complete metrics with positive scalar curvature and bounded geometry. This is joint work with O. Chodosh and K. Xu.

Information about the video

Date of recording 05/11/2025
Date of publication 18/11/2025
Institution IHES
Language English
Audience Researchers
Format MP4

Domain(s)

Differential Geometry

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