36 citations · 40 across the 5 of their papers we have counts for
Showing 2008Show all
2 papers · 1 filter
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…
math.OC2008★ 2 cited
Mass Transportation on Sub-Riemannian Manifolds
Alessio Figalli, Ludovic Rifford
We study the optimal transport problem in sub-Riemannian manifolds where the cost function is given by the square of the sub-Riemannian distance. Under appropriate assumptions, we…