Construction of Hamiltonian-Minimal Lagrangian submanifolds in Complex Euclidean Space

被引：9

作者：

Anciaux, Henri ^{[1
]}

Castro, Ildefonso ^{[2
]}

机构：

[1] Univ Sao Paulo, IME, BR-05508090 Sao Paulo, Brazil

[2] Univ Jaen, Dept Matemat, Jaen 23071, Spain

来源：

RESULTS IN MATHEMATICS | 2011年 / 60卷 / 1-4期

关键词：

Lagrangian submanifolds; H-minimal Lagrangian submanifolds; Legendrian submanifolds; C-N; TORI; SURFACES; EXAMPLES; PLANE; CP2; MANIFOLDS;

D O I：

10.1007/s00025-011-0148-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe several families of Lagrangian submanifolds in complex Euclidean space which are H-minimal, i.e. critical points of the volume functional restricted to Hamiltonian variations. We make use of various constructions involving planar, spherical and hyperbolic curves, as well as Legendrian submanifolds of the odd-dimensional unit sphere.

引用

页码：325 / 349

页数：25

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