Null pseudo-isotropic Lagrangian surfaces

Abstract

In this paper we will show that a Lagrangian, Lorentzian surface $M_1^2$ in a complex pseudo space form ${\tilde{M}}_1^2(4c)$ 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.

15 pages