Listar por tema "53C42"
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Extrinsic isoperimetric analysis on submanifolds with curvatures bounded from below
Springer Verlag (2010)We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The submanifolds are themselves only assumed to ... -
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Springer (2013)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
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 ...