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On the second differentiability of convex surfaces
Authors:Gabriele Bianchi  Andrea Colesanti  Carlo Pucci
Institution:(1) Dipartimento di Matematica, Universitá di Ferrara, Via Machiavelli 35, 44100 Ferrara, Italy;(2) Istituto di Analisi Globale e Applicazioni del CNR, Via S. Marta 13/a, 50139 Firenze, Italy
Abstract:Properties of pointwise second differentiability of real-valued convex functions in Ropf n are studied. Some proofs of the Busemann-Feller-Aleksandrov theorem are reviewed and a new proof of this theorem is presented.
Keywords:26B05  52A20
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