Mathematics – Differential Geometry
Scientific paper
2005-05-24
Mathematics
Differential Geometry
17 pages
Scientific paper
We show how an operation of inf-convolution can be used to approximate convex
functions with $C^{1}$ smooth convex functions on Riemannian manifolds with
nonpositive curvature (in a manner that not only is explicit but also preserves
some other properties of the original functions, such as ordering, symmetries,
infima and sets of minimizers), and we give some applications.
Azagra Daniel
Ferrera Juan
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