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math.DG2011
Volume Growth, Number of Ends and the Topology of a Complete Submanifold
Vicent Gimeno, Vicente Palmer
Given a complete isometric immersion in an ambient Riemannian manifold with a pole and with radial sectional curvatures bounded from above by the…
math.DG2011★ 1 cited
Volume growth of submanifolds and the Cheeger Isoperimetric Constant
Vicent Gimeno, 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…