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arXiv · 1206.6748

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

Antonio Esteve·Vicente Palmer
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Abstract

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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Antonio Esteve, Vicente Palmer. 2012-06-28. Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifold. https://arxiv.org/abs/1206.6748

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