Difierential and A-ne Difierential Invariants for Convexity on Difierentiable Manifolds
Cristina Liliana Pripoae, Gabriel-Teodor Pripoae · 2005
We prove that some special functions which are non-convex (from the classical viewpoint) may be considered generalized convex, with respect to some properly choosed linear connections. This behaviour provides support to conjecture that this is true for any difierentiable function, as far as none of its critical points is a maximum one.