Attaching handles to Bryant surfaces

Frank Pacard; Fernando A. A. Pimentel

Attaching handles to Bryant surfaces

Differential Geometry 2007-05-23 v1

Authors: Frank Pacard , Fernando A. A. Pimentel

Abstract

We prove the existence of complete, embedded, constant mean curvature 1 surfaces in 3 dimensional hyperbolic space when g, the genus of the surface, and n, the number of ends of the surface, satisfy either g=0 and $n\geq 1$ or $g \geq 1$ and $2n\geq g+5$ . The surfaces are all regular points of their corresponding moduli space.

Keywords

surfaces with constant mean curvature hyperbolic surfaces surfaces and embeddings

Cite

@article{arxiv.math/0112224,
  title  = {Attaching handles to Bryant surfaces},
  author = {Frank Pacard and Fernando A. A. Pimentel},
  journal= {arXiv preprint arXiv:math/0112224},
  year   = {2007}
}

Related papers

View all related →