https://neckpinch.com/authors/giorgio-gatti/New arXiv papers by Giorgio Gatti, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2605.20114/arxiv:2605.20114Tue, 19 May 2026 00:00:00 GMTMattia Fogagnolo, Giorgio Gatti, Alessandra Pluda — We propose a notion of scalar curvature lower bounds in a three-dimensional Riemannian manifold endowed with a C⁰ 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.Mean curvature flowOther curvature flowsInverse mean curvature flow3-manifoldsScalar curvatureStability & uniquenessPhysics