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20012011
most citedGeneral curvature estimates for stable H-surfaces in 3-manifolds and applications

27 citations · 83 across the 17 of their papers we have counts for

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Showing 2011Show all

6 papers · 1 filter

math.DG201115 cited

Periodic constant mean curvature surfaces in H^2 x R

Laurent Mazet, M. Magdalena Rodríguez, Harold Rosenberg

In this paper we study minimal and constant mean curvature (cmc) periodic surfaces in H^2 x R. More precisely, we consider quotients of H^2 x R by discrete groups of isometries gen…

math.DG2011

Embedded constant curvature curves on convex surfaces

Harold Rosenberg, Matthias Schneider

We prove the existence of embedded closed constant curvature curves on convex surfaces.

math.DG2011

Surfaces with parallel mean curvature in and

Dorel Fetcu, Harold Rosenberg

We prove a Simons type equation for non-minimal surfaces with parallel mean curvature vector (pmc surfaces) in , where is a 3-dimensional space for…

math.DG2011

Rigidity of Convex Surfaces in Homogeneous Spaces

Harold Rosenberg, Renato Tribuzy

We prove rigidity of oriented isometric immersions of complete surfaces in the homo- geneous 3-manifolds E(k; τ) (different from the space forms) having the same positive extrinsic…

math.DG2011

A note on surfaces with parallel mean curvature

Dorel Fetcu, Harold Rosenberg

We use a Simons type equation in order to characterize complete non-minimal pmc surfaces with non-negative Gaussian curvature.

math.DG20111 cited

A Simons type formula for surfaces with parallel mean curvature

Dorel Fetcu, Harold Rosenberg

We prove a Simons type equation for non-minimal surfaces with parallel mean curvature vector (pmc surfaces) in , where is an -dimensional space…