Null pseudo-isotropic Lagrangian surfaces

In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-i...

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Detalhes bibliográficos
Autores: Carriazo Rubio, Alfonso, Martín Molina, Verónica, Vrancken, Luc
Formato: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2017
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/69332
Acesso em linha:https://hdl.handle.net/11441/69332
https://doi.org/10.4064/cm7107s-12-2016
Access Level:acceso abierto
Palavra-chave:Lagrangian submanifold
Complex projective space
Isotropic submanifold
Lorentzian submanifold
Descrição
Resumo:In this paper we will show that a Lagrangian, Lorentzian surface M 2 1 in a complex pseudo space form Mf2 1 (4c) is pseudo-isotropic if and only if M is minimal. Next we will obtain a complete classification of all Lagrangian, Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.