Mixed volumes and the Bochner method

DOI10.1090/proc/14651zbMath1457.52008arXiv1811.08710OpenAlexW2964311652WikidataQ125356554 ScholiaQ125356554MaRDI QIDQ5238118

Yair Shenfeld, Ramon van Handel

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08710

zbMATH Keywords

mixed volumesconvex geometryAlexandrov-Fenchel inequalityBochner methodmixed discriminantshyperbolic quadratic forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Inequalities and extremum problems involving convexity in convex geometry (52A40) Mixed volumes and related topics in convex geometry (52A39)

Related Items (12)

The extremals of Minkowski's quadratic inequality ⋮ On Hodge-Riemann relations for translation-invariant valuations ⋮ Reverse Alexandrov–Fenchel inequalities for zonoids ⋮ Convex Bodies: Mixed Volumes and Inequalities ⋮ Minoration via mixed volumes and Cover's problem for general channels ⋮ On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities ⋮ Log-concave poset inequalities (extended abstract) ⋮ Volumes of subset Minkowski sums and the Lyusternik region ⋮ A discrete complement of Lyapunov's inequality and its information theoretic consequences ⋮ Concentration of the Intrinsic Volumes of a Convex Body ⋮ One more proof of the Alexandrov-Fenchel inequality ⋮ Introduction to the combinatorial atlas

Cites Work

• A remark on the Alexandrov-Fenchel inequality
• Elliptic partial differential equations of second order
• Asymptotic Geometric Analysis, Part I
• Convex Bodies The Brunn-MinkowskiTheory
• REMARKS ABOUT MIXED DISCRIMINANTS AND VOLUMES
• Riemannian geometry
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