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

Shoichi Fujimori; Yu Kawakami; Masatoshi Kokubu; Wayne Rossman; Masaaki Umehara; Kotaro Yamada

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

Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, Kotaro Yamada

Research output: Contribution to journal › Article

Abstract

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 f_n in Lorentz-Minkowski 3-space R³ ₁ has an analytic extension f_n as a properly embedded zero mean curvature surface. The extension changes type into a time-like (minimal) surface.

Original language	English
Pages (from-to)	249-272
Number of pages	24
Journal	Osaka Journal of Mathematics
Volume	54
Issue number	2
Publication status	Published - 2017

ASJC Scopus subject areas

Mathematics(all)

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title = "Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space",

abstract = "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 R3 1 has an analytic extension fn as a properly embedded zero mean curvature surface. The extension changes type into a time-like (minimal) surface.",

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AU - Fujimori, Shoichi

AU - Kawakami, Yu

AU - Kokubu, Masatoshi

AU - Rossman, Wayne

AU - Umehara, Masaaki

AU - Yamada, Kotaro

PY - 2017

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AB - 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 R3 1 has an analytic extension fn as a properly embedded zero mean curvature surface. The extension changes type into a time-like (minimal) surface.

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