Mass Transportation on Sub-Riemannian Manifolds

Polar factorization and monotone rearrangement of vector‐valued functions

Yann Brenier · Communications on Pure and Applied Mathematics · 1991 · 1.7K citations

Natural Sciences, Mathematics, Optimization +8

Polar factorization of maps on Riemannian manifolds

Robert J. McCann · Geometric and Functional Analysis · 2001 · 483 citations

Natural Sciences, Geophysics, Projection Mapping +3

On a Problem of Monge

L. V. Kantorovich · Journal of Mathematical Sciences · 2006 · 263 citations

Natural Sciences, Mathematics, Mathematical Physics +6

Shortest paths for sub-Riemannian metrics on rank-two distributions

Wensheng Liu, Héctor J. Sussman · Memoirs of the American Mathematical Society · 1996 · 222 citations

Natural Sciences, Biostatistics, Computational Geometry +10

Abnormal Minimizers

Richard Montgomery · SIAM Journal on Control and Optimization · 1994 · 200 citations

Natural Sciences, Mathematics, Dynamical Systems +16