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arXiv · 1402.6827

Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3

Judit Abardia·Thomas Wannerer
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Abstract

We extend the classical Aleksandrov-Fenchel inequality for mixed volumes to functionals arising naturally in hermitian integral geometry. As a consequence, we obtain Brunn-Minkowski and isoperimetric inequalities for hermitian quermassintegrals.

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Judit Abardia, Thomas Wannerer. 2014-02-27. Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3. https://arxiv.org/abs/1402.6827

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