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

Antonio Esteve; Vicente Palmer

arxiv: 1104.5417 · v2 · pith:U442ZIOJnew · submitted 2011-04-28 · 🧮 math.DG

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

Antonio Esteve , Vicente Palmer This is my paper

classification 🧮 math.DG

keywords cartan-hadamardchern-ossermancurvaturesinequalitymanifoldminimalnegativesectional

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

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