most citedRegularity properties of the distance function to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and application in Riemannian geometry

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math.AP2008★ 2 cited

Regularity properties of the distance function to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and application in Riemannian geometry

Marco Castelpietra, Ludovic Rifford

Given a continuous viscosity solution of a Dirichlet-type Hamilton-Jacobi equation, we show that the distance function to the conjugate locus which is associated to this problem is…