Attaching handles to Bryant surfaces
Pacard, Frank ; Pimentel, Fernando A. A.
HAL, hal-00127007 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00127007,
     author = {Pacard, Frank and Pimentel, Fernando A. A.},
     title = {Attaching handles to Bryant surfaces},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00127007}
}

Pacard, Frank; Pimentel, Fernando A. A. Attaching handles to Bryant surfaces. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00127007/