Minimal Lagrangian surfaces in $S^2\times S^2$

Abstract

We deal with the minimal Lagrangian surfaces of the Einstein-Kähler surface $S^2\times S^2$, studying local geometric properties and showing that they can be locally described as Gauss maps of minimal surfaces in $S^3\subset R^4$. We also discuss the second variation of the area and characterize the most relevant examples by their stability behaviour.

22 pages

References in corpus (1)

• Greatest least eigenvalue of the Laplacian on the Klein bottle