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Volume growth of submanifolds and the Cheeger Isoperimetric Constant

Published 29 Apr 2011 in math.DG | (1104.5625v2)

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 .

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