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

Abstract

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.

18 pages, (version1). Version2: 23 pages, added a new result. Corrected typos

References in corpus (1)

• Rigidity of Asymptotically Hyperboblic Manifolds

Cited by in corpus (1)

• On the fundamental tone of minimal submanifolds with controlled extrinsic curvature