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Built on a recent work of Almaraz, Barbosa, de Lima on positive mass theoremson asymptotically flat manifods with a noncompact boundary, we apply freeboundary minimal surface techniques to prove their positive mass theorem andstudy the existence of positive scalar curvature metrics with mean convexboundary on a connected sum of the form $(\mathbb{T}^{n-1}\times[0,1])\#M_0$.

Positive mass theorem and free boundary minimal surfaces