English

Concentration of CMC Surfaces in a 3-manifold

Differential Geometry 2022-11-23 v1

Abstract

We prove that simply connected H-surfaces with small diameter in a 3-manifold necessarily concentrate at a critical point of the scalar curvature.

Keywords

Cite

@article{arxiv.2211.11813,
  title  = {Concentration of CMC Surfaces in a 3-manifold},
  author = {Paul Laurain},
  journal= {arXiv preprint arXiv:2211.11813},
  year   = {2022}
}