Volume growth of submanifolds and the Cheeger Isoperimetric Constant

Abstract

We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above .

arXiv comment11 pages

References in corpus (1)

• Extrinsic isoperimetry and compactification of minimal surfaces in Euclidean and Hyperbolic spaces

Cited by in corpus (1)

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