English

Hyperbolic Geometry and Potential Theory on Minimal Hypersurfaces

Differential Geometry 2015-12-29 v1

Abstract

This is the second in a series of papers where we estab- lish skin structural concepts and results for singular area minimizing hypersurfaces. Here we conformally unfold these spaces to complete Gromov hyperbolic spaces with bounded geometry and we recover their singular set as the Gromov boundary but also as the Martin boundary for many classical elliptic operators.

Keywords

Cite

@article{arxiv.1512.08251,
  title  = {Hyperbolic Geometry and Potential Theory on Minimal Hypersurfaces},
  author = {Joachim Lohkamp},
  journal= {arXiv preprint arXiv:1512.08251},
  year   = {2015}
}
R2 v1 2026-06-22T12:18:34.121Z