English

Positive mass theorem for asymptotically flat manifolds with isolated conical singularities

Differential Geometry 2024-01-17 v1

Abstract

We prove the positive mass theorem for asymptotical flat (AF for short) manifolds with finitely many isolated conical singularities. We do not impose the spin condition. Instead we use the conformal blow up technique which dates back to Schoen's final resolution of the Yamabe conjecture.

Keywords

Cite

@article{arxiv.2401.07186,
  title  = {Positive mass theorem for asymptotically flat manifolds with isolated conical singularities},
  author = {Xianzhe Dai and Yukai Sun and Changliang Wang},
  journal= {arXiv preprint arXiv:2401.07186},
  year   = {2024}
}

Comments

23 pages. arXiv admin note: text overlap with arXiv:2310.13285

R2 v1 2026-06-28T14:16:09.453Z