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arxiv: 1104.5625 · v2 · pith:ESUF7Z2Lnew · submitted 2011-04-29 · 🧮 math.DG

Volume growth of submanifolds and the Cheeger Isoperimetric Constant

classification 🧮 math.DG
keywords cheegerconstantgrowthisoperimetricvolumeaboveboundedcurvature
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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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