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 journalArticle

6 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)249-272
Number of pages24
JournalOsaka Journal of Mathematics
Volume54
Issue number2
Publication statusPublished - 2017

ASJC Scopus subject areas

  • Mathematics(all)

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