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math.DG2010
Curvature estimates for surfaces with bounded mean curvature
Theodora Bourni, Giuseppe Tinaglia
Estimates for the norm of the second fundamental form, , play a crucial role in studying the geometry of surfaces. In fact, when is bounded the surface cannot bend too s…
math.DG2010
Existence of regular neighborhoods for H-surfaces
William H. Meeks, Giuseppe Tinaglia
In this paper, we study the global geometry of complete, constant mean curvature hypersurfaces embedded in n-manifolds. More precisely, we give conditions that imply properness of…