Preprint

Inserted: 19 may 2026
Last Updated: 19 may 2026

Year: 2026

Abstract:

We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a $C^0$ metric based on the monotonicity of the Hawking mass along the inverse mean curvature flow. We present a stability theorem for continuous Riemannian metrics with nonnegative scalar curvature in such IMCF sense.

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• FGP-Scalar-curvature-bounds