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
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
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页码:87 / 101
页数:15
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