A positive mass theorem for non-smooth metrics on asymptotically flat manifolds with non-compact boundary

Published 25 Jun 2025 in math.DG | (2506.20453v1)

Abstract: On a smooth asymptotically flat Riemannian manifold with non-compact boundary, we prove a positive mass theorem for metrics which are only continuous across a compact hypersurface. As an application, we obtain a positive mass theorem on manifolds with non-compact corners.

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