Minimal surfaces in S^2xS^2
Differential Geometry
2013-01-09 v1
Abstract
A general study of minimal surfaces of the Riemannian product of two spheres S^2xS^2 is tackled. We stablish a local correspondence between (non-complex) minimal surfaces of S^2xS^2 and certain pair of minimal surfaces of the sphere S^3. This correspondence also allows us to link minimal surfaces in S^3 and in the Riemannian product S^2xR. Some rigidity results for compact minimal surfaces are also obtained.
Cite
@article{arxiv.1301.1580,
title = {Minimal surfaces in S^2xS^2},
author = {Francisco Torralbo and Francisco Urbano},
journal= {arXiv preprint arXiv:1301.1580},
year = {2013}
}
Comments
25 pages