Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifold


الملخص بالإنكليزية

We state and prove a Chern-Osserman-type inequality in terms of the volume growth for complete surfaces with controlled mean curvature properly immersed in a Cartan-Hadamard manifold $N$ with sectional curvatures bounded from above by a negative quantity $K_{N}leq b<0$

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