The positive mass theorem for non-spin manifolds with distributional curvature (Q2191070)

In the article [Commun. Math. Phys. 339, No. 1, 99--120 (2015; Zbl 1330.53062)], \textit{D. A. Lee} and \textit{P. G. LeFloch} generalized the scalar curvature and the ADM mass to distributional notions and proved a positive mass theorem for spin manifolds. In the article under review, the author proves a positive mass theorem for manifolds without the assumption that the manifold is a spin manifold, but with additional geometric conditions. These conditions include bounded curvature in the Aleksandrov sense and distributional Ricci curvature belonging to certain weighted Lebesgue space.