Geodesic
Null pseudo-isotropic Lagrangian surfaces
Alfonso Carriazo1 ; Verónica Martín-Molina2 ; Luc Vrancken3
1 Departamento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla c/ Tarfia s/n 41012 Sevilla, Spain
2 Departamento de Didáctica de las Matemáticas Facultad de Ciencias de la Educación Universidad de Sevilla c/ Pirotecnia s/n 41013 Sevilla, Spain
3 LAMAV, Université de Valenciennes 59313 Valenciennes Cedex 9, France and Departement Wiskunde KU Leuven Celestijnenlaan 200 B 3001 Leuven, Belgium
Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 87-101.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that a Lagrangian, Lorentzian surface $M^2_1$ in a complex space form $\widetilde{M}^2_1 (4c)$ 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.
DOI : 10.4064/cm7107s-12-2016
Keywords: lagrangian lorentzian surface complex space form widetilde pseudo isotropic only minimal obtain complete classification lagrangian lorentzian surfaces which lightlike pseudo isotropic pseudo isotropic

Alfonso Carriazo 1 ; Verónica Martín-Molina 2 ; Luc Vrancken 3

1 Departamento de Geometría y Topología Facultad de Matemáticas Universidad de Sevilla c/ Tarfia s/n 41012 Sevilla, Spain
2 Departamento de Didáctica de las Matemáticas Facultad de Ciencias de la Educación Universidad de Sevilla c/ Pirotecnia s/n 41013 Sevilla, Spain
3 LAMAV, Université de Valenciennes 59313 Valenciennes Cedex 9, France and Departement Wiskunde KU Leuven Celestijnenlaan 200 B 3001 Leuven, Belgium 
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Alfonso Carriazo; Verónica Martín-Molina; Luc Vrancken. Null pseudo-isotropic Lagrangian surfaces. Colloquium Mathematicum, Tome 150 (2017) no. 1, pp. 87-101. doi : 10.4064/cm7107s-12-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm7107s-12-2016/

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