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arXiv · 2606.23378

A new boundary mass for asymptotically flat half-manifolds

Guofang Wang·Wei Wei
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Abstract

We introduce a boundary analogue of the Gauss--Bonnet--Chern mass for asymptotically flat half-manifolds with non-compact boundary. We prove that this mass is well defined and establish the corresponding positive mass theorems for graphical and conformally flat graphs. Also we provide a Penrose-type inequality for the mass $\mathfrak{m}_{a,B}(g)$.

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Guofang Wang, Wei Wei. 2026-06-22. A new boundary mass for asymptotically flat half-manifolds. https://arxiv.org/abs/2606.23378

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