{"paper":{"title":"Minimal Lagrangian surfaces in $S^2 \\times S^2$","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Francisco Urbano, Ildefonso Castro","submitted_at":"2006-01-26T12:30:56Z","abstract_excerpt":"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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601637","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}