%0 Journal Article %A Azagra Rueda, Daniel %A Ferrera Cuesta, Juan %A López-Mesas Colomina, Fernando %T Nonsmooth analysis and Hamilton-Jacobi equations on Riemannian manifolds %D 2005 %@ 0022-1236 %U https://hdl.handle.net/20.500.14352/49822 %X We establish some perturbed minimization principles, and we develop a theory of subdifferential calculus, for functions defined on Riemannian manifolds. Then we apply these results to show existence and uniqueness of viscosity solutions to Hamilton-Jacobi equations defined on Riemannian manifolds. %~