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arXiv · 2606.19858

Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity

Xiaoxiang Chai·Yimin Chen·Juncheol Pyo
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Abstract

We define a mass invariant adapted to the spectral scalar curvature for asymptotically hyperbolic 3-manifolds with toroidal infinity and show its positivity under a lower bound on the spectral scalar curvature. In addition, we show a rigidity theorem and some band width estimates under similar assumptions.

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Xiaoxiang Chai, Yimin Chen, Juncheol Pyo. 2026-06-18. Spectral Positive Mass Theorem for Asymptotically Hyperbolic 3-manifolds with Toroidal Infinity. https://arxiv.org/abs/2606.19858

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