27 citations · 29 across the 4 of their papers we have counts for
5 papers
General curvature estimates for stable H-surfaces in 3-manifolds and applications
Harold Rosenberg, Rabah Souam, Eric Toubiana
We obtain an estimate for the norm of the second fundamental form of stable H-surfaces in Riemannian 3-manifolds with bounded sectional curvature. Our estimate depends on the dista…
An asymptotic theorem for minimal surfaces and existence results for minimal graphs in
Ricardo Sa Earp, Eric Toubiana
In this paper we prove a general and sharp Asymptotic Theorem for minimal surfaces in . As a consequence, we prove that there is no properly immersed minimal surface w…
Uniqueness of H-surfaces in H^2xR, |H| <= 1/2, with boundary one or two parallel horizontal circles
B. Nelli, R. Sa Earp, W. Santos +1
We prove that a H-surface M in H^2xR, |H| <= 1/2, inherits the symmetries of its boundary when the boundary is either a horizontal curve with curvature greater than one or two para…
Totally umbilic surfaces in homogeneous 3-manifolds
Rabah Souam, Eric Toubiana
We discuss existence and classification of totally umbilic surfaces in the model geometries of Thurston and the Berger spheres. We classify such surfaces in , $S^2 \t…
Associate and conjugate minimal immersions in MxR
Laurent Hauswirth, Ricardo Sa Earp, Eric Toubiana
We consider minimal immersions in MxR. We study existence and uniqueness of associate and conjugate isometric immersions to a given minimal surface. We use the theory of univalent…