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

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.