NULL PSEUDO-ISOTROPIC LAGRANGIAN SURFACES

被引：2

作者：

Carriazo, Alfonso ^{[1
]}

Martin-Molina, Veronica ^{[4
]}

Vrancken, Luc ^{[2
,3
]}

机构：

[1] Univ Seville, Dept Geometria & Topol, Fac Matemat, C Tarfia S-N, E-41012 Seville, Spain

[2] Univ Valenciennes, LAMAV, F-59313 Valenciennes 9, France

[3] Katholieke Univ Leuven, Dept Wiskunde, Celestijnenlaan 200 B, B-3001 Leuven, Belgium

[4] Univ Seville, Dept Didact Matemat, Fac Ciencias Educ, C Pirotecnia S-N, Seville 41013, Spain

来源：

COLLOQUIUM MATHEMATICUM | 2017年 / 150卷 / 01期

关键词：

Lagrangian submanifold; complex projective space; isotropic sub-manifold; Lorentzian submanifold; SUBMANIFOLDS; IMMERSIONS;

D O I：

10.4064/cm7107s-12-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a Lagrangian, Lorentzian surface M? in a complex space form (M) over tilde (2)(1) (4c) is pseudo-isotropic if and only if M is minimal. Next we obtain a complete classification of all Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.

引用

页码：87 / 101

页数：15

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