The determination of convex bodies from their mean radius of curvature functions
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Publication:5543271
DOI10.1112/S0025579300007956zbMath0161.19302WikidataQ56622212 ScholiaQ56622212MaRDI QIDQ5543271
Publication date: 1967
Published in: Mathematika (Search for Journal in Brave)
Related Items (20)
Christoffel-Minkowski flows ⋮ A class of inverse curvature flows and 𝐿^{𝑝} dual Christoffel-Minkowski problem ⋮ Deforming a hypersurface by principal radii of curvature and support function ⋮ On a Carathéodory's conjecture on umbilics: representing ovaloids ⋮ Remarks about inverse diffraction problem ⋮ The Christoffel problem in the hyperbolic plane ⋮ A weighted gradient estimate for solutions of \(L^p\) Christoffel-Minkowski problem ⋮ Prescribed \(L_p\) curvature problem ⋮ Fast integral equation methods for the Laplace-Beltrami equation on the sphere ⋮ Curvature Measures, Isoperimetric Type Inequalities and Fully Nonlinear PDEs ⋮ \(L^p\) Christoffel-Minkowski problem: the case \(1< p<k+1\) ⋮ The mean radius of curvature of an exponential family ⋮ Boundary Integral Equations for the Laplace-Beltrami Operator ⋮ The Christoffel problem by the fundamental solution of the Laplace equation ⋮ Intermediate Christoffel-Minkowski problems for figures of revolution ⋮ Extremal problems and isotropic positions of convex bodies ⋮ A Fourier transform approach to Christoffel’s problem ⋮ Compact traveling waves for anisotropic curvature flows with driving force ⋮ Integral representations of quermass-integrals and Bonnesen-Style inequalities ⋮ Applications of convex geometry to Minkowski sums of m ellipsoids in ℝN: Closed-form parametric equations and volume bounds
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