Listar por tema "volume growth"
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The Chern–Osserman inequality for minimal surfaces in a Cartan–Hadamard manifold with strictly negative sectional curvatures
Springer Netherlands (2014)We state and prove a Chern–Osserman-type inequality in terms of the volume growth for minimal surfaces S which have finite total extrinsic curvature and are properly immersed in a Cartan–Hadamard manifold N with sectional ... -
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
Springer-Verlag GmbH Germany (2022-07)We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic version of Brooks’s essential spectrum ...