Bounding the integral of powered \(i\)-th mean curvatures

DOI10.4171/RMI/968zbMath1380.52005OpenAlexW2768344275MaRDI QIDQ1687695

David Alonso-Gutiérrez, Antonio R. Martínez Fernández, María A. Hernández Cifre

Publication date: 4 January 2018

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/968

zbMATH Keywords

radial functionconvex hypersurfacesquermassintegralsinner and outer radiimean curvaturesdual quermassintegralsroots of Steiner polynomials\(C^2_+\) convex bodiessymmetric functions of radii of curvature

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40)

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