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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…
math.DG2006
A characterization of constant mean curvature surfaces in homogeneous 3-manifolds
Isabel Fernandez, Pablo Mira
It has been recently shown by Abresch and Rosenberg that a certain Hopf differential is holomorphic on every constant mean curvature surface in a Riemannian homogeneous 3-manifold…