ANALYTIC EXTENSION OF JORGE-MEEKS TYPE MAXIMAL SURFACES IN LORENTZ-MINKOWSKI 3-SPACE

作者:Fujimori Shoichi*; Kawakami Yu; Kokubu Masatoshi; Rossman Wayne; Umehara Masaaki; Yamada Kotaro
来源:Osaka Journal of Mathematics, 2017, 54(2): 249-272.

摘要

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.

  • 出版日期2017-4