arXiv:1808.02218 Abstract | arXiv Analytics

arXiv:1808.02218 [math.AP]Abstract References Reviews Resources

On a generalised Blaschke-Santalò inequality

Published 2018-08-07Version 1

In this paper, we establish a generalised Blaschke-Santal\`o inequality for convex bodies in $\mathbb R^{n+1}$. This inequality gives an upper bound estimate for the product of dual quermassintegrals of convex body and its polar set. Our argument is based on induction on dimensions.

Categories: math.AP, math.DG

Keywords: inequality, convex body, upper bound estimate, dual quermassintegrals, polar set

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