Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures

Details Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures Chern-Osserman inequality for minimal surfaces in a Cartan-Hadamard manifold with strictly negative sectional curvatures

2011-04-28

arxiv.org/abs/1104.5417v1

Mathematics

Differential Geometry

18 pages

Scientific paper

We state and prove a Chern-Osserman Inequality in terms of the volume growth
for minimal surfaces properly immersed in a Cartan-Hadamard manifold N with
sectional curvatures bounded from above by a negative quantity.

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