Warped Product Minimal Lagrangian Immersions in Complex Projective Space

被引：4

作者：

Rodriguez Montealegre, Cristina ^{[1
]}

Vrancken, Luc ^{[2
,3
,4
]}

机构：

[1] Univ Jaen, Dept Matemat, Escuela Politecn Super, E-23071 Jaen, Spain

[2] Univ Lille Nord France, F-59000 Lille, France

[3] LAMAV, UVHC, F-59313 Valenciennes, France

[4] Katholieke Univ Leuven, Dept Wiskunde, BE-3001 Louvain, Belgium

来源：

RESULTS IN MATHEMATICS | 2009年 / 56卷 / 1-4期

关键词：

Lagrangian submanifold; complex projective space; warped product; minimal submanifold; TOTALLY-REAL SUBMANIFOLDS; EQUALITY; FORMS;

D O I：

10.1007/s00025-009-0439-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There exists a well known construction which allows to associate with two Lagrangian immersions f(i) : M-i -> CPni (4), i = 1, 2 a family of new Lagrangian immersion from I x M-1 x M-2 into CPn1+n2+1 (4). Each member of the family is determined by a horizontal curve in S-3 (1). In this paper we continue to deal with the inverse problem: how to determine from properties of the second fundamental form whether a given Lagrangian immersion of M -> CPn (4) can be locally decomposed in such a way.

引用

页码：405 / 420

页数：16

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