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Weighted isoperimetric inequalities in warped product manifolds (1708.06682v1)
Published 22 Aug 2017 in math.DG
Abstract: We prove some isoperimetric type inequalities in warped product manifolds, or more generally, multiply warped product manifolds. We then relate them to inequalities involving the higher order mean-curvature integrals. We also apply our results to obtain sharp eigenvalue estimates and some sharp geometric inequalities in space forms.
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