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math.DG2009
Complete Flat Surfaces with two Isolated Singularities in Hyperbolic 3-space
Armando V. Corro, Antonio Martinez, Francisco Milan
We construct examples of flat surfaces in which are graphs over a two-punctured horosphere and classify complete embedded flat surfaces in with only o…
math.DG2006★ 2 cited
The Bonnet problem for surfaces in homogeneous 3-manifolds
Jose A. Galvez, Antonio Martinez, Pablo Mira
We solve the Bonnet problem for surfaces in the homogeneous 3-manifolds with a 4-dimensional isometry group. More specifically, we show that a simply connected real analytic surfac…