Volume growth of submanifolds and the Cheeger isoperimetric constant

Gimeno, Vicent; Palmer, Vicente

doi:10.1090/S0002-9939-2013-11664-3

Volume growth of submanifolds and the Cheeger isoperimetric constant
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by Vicent Gimeno and Vicente Palmer PDF

Proc. Amer. Math. Soc. 141 (2013), 3639-3650 Request permission

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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