Hamilton—Jacobi Equations and Distance Functions on Riemannian Manifolds
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Abstract. The paper is concerned with the properties of the distance function from a closed subset of a Riemannian manifold, with particular attention to the set of singularities.
Key words. Geodesic, Cut locus, Hamilton—Jacobi equation, Viscosity solution, Semiconcavity. AMS Classification. Primary 49F25, Secondary 53C22.
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© 2002 Springer-Verlag New York Inc.