Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space

The Jorge-Meeks n-noid (n = 2) is a complete minimal surface of genus zero with n catenoidal ends in the Euclidean 3-space R-3, which has (2 pi/ n)-rotation symmetry with respect to its axis. In this paper, we show that the corresponding maximal surface fn in Lorentz-Minkowski 3space R-1(3) has an analytic extension (f) over tilde (n) as a properly embedded zero mean curvature surface. The extension changes type into a time-like (minimal) surface.