## IMAIZUMI Taishi, KATO Shin,

## Flux of simple ends of maximal surfaces in ${\bf R}^{2,1}$.

## Hokkaido Mathematical Journal, 37 (2008) pp.561-610

### Fulltext

PDF### Abstract

Simple ends of maximal surfaces in R^{2,1} naturally correspond to catenoidal or planar ends of minimal surfaces in R^3. We study some properties of flux of simple ends, which are different from those of catenoidal or planar ends. We also give a classification of maximal surfaces of genus zero with 3 simple ends.

MSC(Primary) | 53C42 |
---|---|

MSC(Secondary) | 58E12 |

Uncontrolled Keywords | maximal surface, flux formula, simple end. |