English

Smooth Knot Limit Sets of the Complex Hyperbolic Plane

Geometric Topology 2022-03-22 v1 Differential Geometry

Abstract

It is shown that if a regular knot of class C2 is embedded in the boundary of the complex hyperbolic plane as the limit set of a discrete subgroup of PU(2, 1) then it is either a chain or an R-circle.

Keywords

Cite

@article{arxiv.2203.10572,
  title  = {Smooth Knot Limit Sets of the Complex Hyperbolic Plane},
  author = {Waldemar Barrera and Rene Garcia and Juan Pablo Navarrete},
  journal= {arXiv preprint arXiv:2203.10572},
  year   = {2022}
}

Comments

9 pages

R2 v1 2026-06-24T10:19:39.813Z