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 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 |
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ASJC Scopus subject areas
- Mathematics(all)
Cite this
Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space. / Fujimori, Shoichi; Kawakami, Yu; Kokubu, Masatoshi; Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro.
In: Osaka Journal of Mathematics, Vol. 54, No. 2, 2017, p. 249-272.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analytic extension of Jorge-Meeks type maximal surfaces in Lorentz-Minkowski 3-space
AU - Fujimori, Shoichi
AU - Kawakami, Yu
AU - Kokubu, Masatoshi
AU - Rossman, Wayne
AU - Umehara, Masaaki
AU - Yamada, Kotaro
PY - 2017
Y1 - 2017
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85020281079&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85020281079&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85020281079
VL - 54
SP - 249
EP - 272
JO - Osaka Journal of Mathematics
JF - Osaka Journal of Mathematics
SN - 0030-6126
IS - 2
ER -