English

Nonexistence of DEC spin fill-ins

Differential Geometry 2022-04-06 v1 Mathematical Physics math.MP

Abstract

In this note, we show that a closed spin Riemannian manifold does not admit a spin fill-in satisfying the dominant energy condition (DEC) if a certain generalized mean curvature function is point-wise large.

Cite

@article{arxiv.2204.02146,
  title  = {Nonexistence of DEC spin fill-ins},
  author = {Simon Raulot},
  journal= {arXiv preprint arXiv:2204.02146},
  year   = {2022}
}
R2 v1 2026-06-24T10:38:21.814Z