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arXiv · 1301.1580

Minimal surfaces in S^2xS^2

Francisco Torralbo·Francisco Urbano
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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.

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Francisco Torralbo, Francisco Urbano. 2013-01-08. Minimal surfaces in S^2xS^2. https://arxiv.org/abs/1301.1580

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