Positive Mass Theorem on Manifolds admitting Corners along a Hypersurface
Pengzi Miao
Abstract
We study a class of non-smooth asymptotically flat manifolds on which metrics fails to be C1 across a hypersurface Σ. We first give an approximation scheme to mollify the metric, then we prove that the Positive Mass Theorem still holds on these manifolds if a geometric boundary condition is satisfied by metrics separated by Σ.
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