Communications in Analysis and Geometry

Volume 15 (2007)

Number 2

Minimal Lagrangian surfaces in S2×S2

Pages: 217 – 248

DOI: https://dx.doi.org/10.4310/CAG.2007.v15.n2.a1

Authors

Ildefonso Castro

Francisco Urbano

Abstract

We deal with the minimal Lagrangian surfaces of the Einstein-Kähler S2×S2 surface, studying local geometric properties and showing that they can be locally described as Gauss maps of minimal surfaces in S3S4 . We also discuss the second variation of the area and characterize the most relevant examples by their stability behaviour.

Published 1 January 2007