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Volume growth of submanifolds and the Cheeger Isoperimetric Constant

By Vicent Gimeno and Vicente Palmer


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 .Comment: 11 page

Topics: Mathematics - Differential Geometry, 53C20, 53C42
Year: 2012
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