Weighted isoperimetric inequalities in warped product manifolds
classification
🧮 math.DG
keywords
inequalitiesmanifoldsproductwarpedisoperimetricsharpsomeapply
read the original 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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