Lagrangian minimal surfaces in Lorentzian complex plane

被引：5

作者：

Chen, Bang-Yen ^{[1
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

ARCHIV DER MATHEMATIK | 2008年 / 91卷 / 04期

关键词：

Minimal surface; Lagrangian surface; Lorentzian complex plane;

D O I：

10.1007/s00013-008-2733-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Flat Lagrangian minimal surfaces in the Lorentzian complex plane C(1)(2) are classi. ed by B.Y. Chen and L. Vrancken in [8]. On the other hand, Vrancken proves in [11] that Lagrangian minimal surfaces of constant curvature in C(1)(2) are. at surfaces. In this article, we classify all Lagrangian minimal surfaces in C(1)(2) which are free from. at points.

引用

页码：366 / 371

页数：6

共 11 条

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Chen, Bang-Yen
Dillen, Franki
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (05)
[5] Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms
Chen, Bang-Yen
Dillen, Franki
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (01)
[6] Classification of flat lagrangian surfaces in complex lorentzian plane
Chen, Bang-Yen
Fastenakels, Johan
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2007, 23 (12) : 2111 - 2144
[7] TOTALLY REAL SUBMANIFOLDS
CHEN, BY
OGIUE, K
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 193 (JUN) : 257 - 266
[8] CHEN BY, 1987, J MATH PURE APPL, V66, P321
[9] Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form
Chen, BY
Vrancken, L
[J]. TOHOKU MATHEMATICAL JOURNAL, 2002, 54 (01) : 121 - 143
[10] Minimal Lagrangian submanifolds of Lorentzian complex space forms with constant sectional curvature
Kriele, M
Vrancken, L
[J]. ARCHIV DER MATHEMATIK, 1999, 72 (03) : 223 - 232

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