Abstract
Very recently J. Kotrbatý[14] has proven general inequalities for translation invariant smooth valuations formally analogous to the Hodge-Riemann bilinear relations in Kähler geometry. The goal of this note is to prove several inequalities for mixed volumes of convex bodies using Kotrbatý’s theorem as the main tool.
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Partially supported by ISF grant 865/16 and the US—Israel BSF grant 2018115.
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Alesker, S. Kotrbatý’s theorem on valuations and geometric inequalities for convex bodies. Isr. J. Math. 247, 361–378 (2022). https://doi.org/10.1007/s11856-021-2269-z
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DOI: https://doi.org/10.1007/s11856-021-2269-z