Inf-convolution and regularization of convex functions on Riemannian manifolds of nonpositive curvature
- Azagra Rueda, Daniel
- Ferrer Angulo, Juan Manuel
ISSN: 1139-1138, 1988-2807
Year of publication: 2006
Volume: 19
Issue: 2
Pages: 323-345
Type: Article
More publications in: Revista matemática complutense
Abstract
We show how an operation of inf-convolution can be used to approximate convex functions with C1 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.