Null pseudo-isotropic Lagrangian surfaces
Tom 150 / 2017
Colloquium Mathematicum 150 (2017), 87-101
MSC: Primary 53B25; Secondary 53B20.
DOI: 10.4064/cm7107s-12-2016
Opublikowany online: 1 September 2017
Streszczenie
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.