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arXiv · 2605.20114

Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow

Mattia Fogagnolo·Giorgio Gatti·Alessandra Pluda
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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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Mattia Fogagnolo, Giorgio Gatti, Alessandra Pluda. 2026-05-19. Scalar curvature bounds for 3D continuous metrics through the Inverse Mean Curvature Flow. https://arxiv.org/abs/2605.20114

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