%0 Journal Article %A Azagra Rueda, Daniel %A Ferrera Cuesta, Juan %T Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature %D 2006 %@ 1988-2807 %U https://hdl.handle.net/20.500.14352/49771 %X 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 %~