Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds. (English) Zbl 1225.49046
Summary: In this paper, a notion of generalized gradient on Riemannian manifolds is considered and a subdifferential calculus related to this subdifferential is presented. A characterization of the tangent cone to a nonempty subset \(S\) of a Riemannian manifold \(M\) at a point \(x\) is obtained. Then, these results are applied to characterize epi-Lipschitz subsets of complete Riemannian manifolds.
Keywords:
generalized gradients; locally Lipschitz functions; epi-Lipschitz sets; Riemannian manifoldsReferences:
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