English

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

Differential Geometry 2012-12-04 v1

Abstract

We deal with the minimal Lagrangian surfaces of the Einstein-K\"ahler surface S2×S2S^2 \times S^2, studying local geometric properties and showing that they can be locally described as Gauss maps of minimal surfaces in S3R4S^3 \subset R^4. We also discuss the second variation of the area and characterize the most relevant examples by their stability behaviour.

Keywords

Cite

@article{arxiv.math/0601637,
  title  = {Minimal Lagrangian surfaces in $S^2 \times S^2$},
  author = {Ildefonso Castro and Francisco Urbano},
  journal= {arXiv preprint arXiv:math/0601637},
  year   = {2012}
}

Comments

22 pages

R2 v1 2026-07-22T17:30:37.153Z