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math.DG2013★ 1 cited
Minimal isometric immersions into S^2 x R and H^2 x R
Benoit Daniel
For a given simply connected Riemannian surface Sigma, we relate the problem of finding minimal isometric immersions of Sigma into S^2 x R or H^2 x R to a system of two partial dif…
math.DG2013★ 1 cited
The Gauss map of surfaces in ~PSL_2(R)
Benoit Daniel, Isabel Fernandez, Pablo Mira
We define a Gauss map for surfaces in the universal cover of the Lie group PSL_2(R) endowed with a left-invariant Riemannian metric having a 4-dimensional isometry group. This Gaus…