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arXiv · 1708.06682

Weighted isoperimetric inequalities in warped product manifolds

Kwok-Kun Kwong
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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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Kwok-Kun Kwong. 2017-08-22. Weighted isoperimetric inequalities in warped product manifolds. https://arxiv.org/abs/1708.06682

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