2017年4月

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

OSAKA JOURNAL OF MATHEMATICS
• Shoichi Fujimori
• ,
• Yu Kawakami
• ,
• Masatoshi Kokubu
• ,
• Wayne Rossman
• ,
• Masaaki Umehara
• ,

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OSAKA JOURNAL OF MATHEMATICS

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.

Web of Science ® 被引用回数 : 7

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Web of Science