Positive mass theorem with arbitrary ends and its application

Abstract

In this article, we give a proof for positive mass theorem of asymptotically flat manifolds with arbitrary ends when the dimension is no greater than seven. As an application, we also show a positive mass theorem for asymptotically locally Euclidean manifolds with necessary incompressible conditions.

17 pages, 1 figures, to appear in IMRN. arXiv admin note: text overlap with arXiv:2112.14442