English

Positive mass theorem with arbitrary ends and its application

Differential Geometry 2022-04-13 v1

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.

Keywords

Cite

@article{arxiv.2204.05491,
  title  = {Positive mass theorem with arbitrary ends and its application},
  author = {Jintian Zhu},
  journal= {arXiv preprint arXiv:2204.05491},
  year   = {2022}
}

Comments

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

R2 v1 2026-06-24T10:45:15.835Z