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arXiv · 2512.03212

A Conformal Positive Mass Theorem with Noncompact Boundary

Alex Freire·Mohammad Tariquel Islam
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Abstract

We obtain an integral inequality for asymptotically linear harmonic functions on asymptotically flat 3-manifolds with noncompact boundary, which implies positivity of a convex combination of ADM masses of two conformally related metrics under a positivity condition on a corresponding convex combination of their scalar curvatures and boundary mean curvatures. This generalizes a result of Batista and Lopes de Lima, under conditions that do not assume positivity of scalar curvature.

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Alex Freire, Mohammad Tariquel Islam. 2025-12-02. A Conformal Positive Mass Theorem with Noncompact Boundary. https://arxiv.org/abs/2512.03212

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