How to define "convex functions" on differentiable manifolds
Stefan Rolewicz (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In the paper a class of families (M) of functions defined on differentiable manifolds M with the following properties: . if M is a linear manifold, then (M) contains convex functions, . (·) is invariant under diffeomorphisms, . each f ∈ (M) is differentiable on a dense -set, is investigated.