On the second differentiability of convex surfaces

DOI10.1007/BF00150866zbMath0843.26007OpenAlexW2049484389MaRDI QIDQ1909588

Andrea Colesanti, Gabriele Bianchi, Carlo Pucci

Publication date: 11 August 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00150866

zbMATH Keywords

convex functionsubdifferentialdifferentiability of the gradientsecond differentiability

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Continuity and differentiation questions (26B05) Convexity of real functions of several variables, generalizations (26B25)

Related Items (10)

Hyperbolic geometry of shapes of convex bodies ⋮ DC semidefinite programming and cone constrained DC optimization. I: Theory ⋮ Only ellipsoids have caustics ⋮ Lusin-type properties of convex functions and convex bodies ⋮ A geometric approach to second-order differentiability of convex functions ⋮ On the entropy of Hilbert geometries of low regularities ⋮ Convex geometry and its connections to harmonic analysis, functional analysis and probability theory ⋮ Fine properties of geodesics and geodesic \(\lambda\)-convexity for the Hellinger-Kantorovich distance ⋮ Area theorem and smoothness of compact Cauchy horizons ⋮ Lipschitz continuity, Aleksandrov theorem and characterizations for \(H\)-convex functions

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