English

Existence of CMC-foliations in asymptotically cuspidal manifolds

Differential Geometry 2018-11-30 v1

Abstract

In this paper we prove existence and uniqueness of a CMC foliation in asymptotically cuspidal manifolds. Moreover, we study the isoperimetric problem in this case. Our proof does not require any curvature assumption and it holds for any dimension.

Keywords

Cite

@article{arxiv.1811.12054,
  title  = {Existence of CMC-foliations in asymptotically cuspidal manifolds},
  author = {Claudio Arezzo and Karen Corrales},
  journal= {arXiv preprint arXiv:1811.12054},
  year   = {2018}
}

Comments

18 pages