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

Ildefonso Castro; Francisco Urbano

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

Ildefonso Castro·Francisco Urbano

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Abstract

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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BibTeX RIS

Ildefonso Castro, Francisco Urbano. 2006-01-26. Minimal Lagrangian surfaces in $S^2 \times S^2$. https://arxiv.org/abs/math/0601637

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