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

DOI10.1007/s00526-015-0843-0zbMath1330.52012arXiv1402.6827OpenAlexW2044374917MaRDI QIDQ745568

Thomas Wannerer, Judit Abardia-Evéquoz

Publication date: 14 October 2015

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6827

zbMATH Keywords

isoperimetric inequalityBrunn-Minkowski inequalityAleksandrov-Fenchel type inequalityHermitian quermassintegrals

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65)

Related Items (10)

Valuations and Curvature Measures on Complex Spaces ⋮ Crofton formulas and indefinite signature ⋮ The dual difference Aleksandrov-Fenchel inequality ⋮ On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities ⋮ Minkowski valuations on convex functions ⋮ Volume, polar volume and Euler characteristic for convex functions ⋮ Dimension of the space of unitary equivariant translation invariant tensor valuations ⋮ SL\((n)\) covariant function-valued valuations ⋮ The complex L_p Loomis-Whitney inequality ⋮ Complex affine isoperimetric inequalities

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