Mathematics > Differential Geometry
arXiv:2606.23378 (math)
[Submitted on 22 Jun 2026]
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 $\mathfrak{m}_{a,B}(g)$.
Submission history
From: Wei Wei [view email]
[v1]
Mon, 22 Jun 2026 14:10:09 UTC (32 KB)
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