Publication:
Proximal calculus on Riemannian manifolds

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Publication Date
2005
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BIRKHAUSER VERLAG AG
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We introduce a proximal subdifferential and develop a calculus for nonsmooth functions defined on any Riemannian manifold M. We give some applications of this theory, concerning, for instance, a Borwein-Preiss type variational principle on a Riemannian manifold M, as well as differentiability and geometrical properties of the distance function to a closed subset C of M.
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