The Jorge-Meeks n-noid (n≥2) is a complete minimal surface of genus zero with n catenoidal ends in the Euclidean 3-space R3, which has (2π/n)-rotation symmetry with respect to its axis. In this paper, we show that the corresponding maximal surface fn in Lorentz-Minkowski 3-space R13 has an analytic extension f~n as a properly embedded zero mean curvature surface. The extension changes type into a time-like (minimal) surface.
@article{arxiv.1509.05853,
title = {Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space},
author = {Shoichi Fujimori and Yu Kawakami and Masatoshi Kokubu and Wayne Rossman and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:1509.05853},
year = {2015}
}