Ferrera Cuesta, JuanAzagra Rueda, Daniel2023-06-202023-06-2020051660-544610.1007/s00009-005-0056-4https://hdl.handle.net/20.500.14352/49922We 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.engjournal articlehttp://www.springerlink.com/content/p1q0626q11453542/fulltext.pdf?MUD=MPhttp://www.springerlink.com/restricted access517.986.6517.518.45Proximal subdifferentialRiemannian manifoldVariational principleMean value theoremAnálisis matemático1202 Análisis y Análisis Funcional