How to define "convex functions" on differentiable manifolds
Stefan Rolewicz
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 29 (2009), p. 7-17 / Harvested from The Polish Digital Mathematics Library
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In the paper a class of families (M) of functions defined on differentiable manifolds M with the following properties: 1. if M is a linear manifold, then (M) contains convex functions, 2. (·) is invariant under diffeomorphisms, 3. each f ∈ (M) is differentiable on a dense Gδ-set, is investigated.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:271159 
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Stefan Rolewicz. How to define "convex functions" on differentiable manifolds. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 29 (2009) pp. 7-17. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1101/

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