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