Communications in Analysis and Geometry
Volume 15 (2007)
Minimal Lagrangian surfaces in $\Bbb S\sp 2 x $\Bbb S\sp 2$
Pages: 217 – 248
We deal with the minimal Lagrangian surfaces of the Einstein-Kähler $\Bbb S\sp 2 x \Bbb S\sp 2$ surface, studying local geometric properties and showing that they can be locally described as Gauss maps of minimal surfaces in $\Bbb S\sp 2 \subset \Bbb R\sp 4$ . We also discuss the second variation of the area and characterize the most relevant examples by their stability behaviour.