English

On embedded minimal surfaces of Costa-Hoffman-Meeks type in hyperbolic space

Differential Geometry 2018-06-01 v1

Abstract

We present a new construction of embedded minimal surfaces in hyperbolic space with 33 asymptotically totally geodesic ends and arbitrary finite genus.

Keywords

Cite

@article{arxiv.1805.12194,
  title  = {On embedded minimal surfaces of Costa-Hoffman-Meeks type in hyperbolic space},
  author = {Asun Jiménez Grande and Graham Smith},
  journal= {arXiv preprint arXiv:1805.12194},
  year   = {2018}
}

Comments

Key words: Minimal surfaces, hyperbolic space, desingularisation, Costa-Hoffman-Meeks surfaces