Aleksandrov-Fenchel inequalities for unitary valuations of degree 2 and 3
classification
🧮 math.DG
keywords
aleksandrov-fenchelhermitianinequalitiesarisingbrunn-minkowskiclassicalconsequencedegree
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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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