A Theorem of Hopf and the Cauchy-Riemann Inequality

Renato Tribuzy | Alencar, Hilário | do Carmo, Manfredo

Keywords: Mean Curvature | Compact Surface | Hopf | Sphere | Cauchy-Riemann

We prove that if a compact immersed surface M of genus zero in M^2(c)XR is such that the differential of the mean curvature is not too large,then M is an embedded surface invariant by rotations. This generalizes a recent work of Abresch-Rosenberg.

Anexos:

• AlencarCarmoTrib_23_11_2006.pdf