Construction of Hamiltonian-Minimal Lagrangian submanifolds in Complex Euclidean Space


Autoria(s): ANCIAUX, Henri; CASTRO, Ildefonso
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

20/10/2012

20/10/2012

2011

Resumo

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.

CNPq-Bolsa PQ grant[302584/2007-2]

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

MEC-FEDER grant[MTM2007-61779]

MEC-FEDER grant

Identificador

RESULTS IN MATHEMATICS, v.60, n.1/Abr, p.325-349, 2011

1422-6383

http://producao.usp.br/handle/BDPI/30739

10.1007/s00025-011-0148-3

http://dx.doi.org/10.1007/s00025-011-0148-3

Idioma(s)

eng

Publicador

BIRKHAUSER VERLAG AG

Relação

Results in Mathematics

Direitos

restrictedAccess

Copyright BIRKHAUSER VERLAG AG

Palavras-Chave #Lagrangian submanifolds #H-minimal Lagrangian submanifolds #Legendrian submanifolds #C-N #TORI #SURFACES #EXAMPLES #PLANE #CP2 #MANIFOLDS #Mathematics, Applied #Mathematics
Tipo

article

original article

publishedVersion