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

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

2006-01-26

arxiv.org/abs/math/0601637v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We deal with the minimal Lagrangian surfaces of the Einstein-K\"ahler 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.

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