The dynamical formulation of optimal transport
between two probability measures $\mu_0,\mu_1$ on a (sub)Riemannian manifold $M$, aims at minimizing
the square integral of a Borel family of vector fiel...
A classical rigidity result of Alexandrov asserts that if $ 1 \leq k \leq n $ is an integer and $ \Sigma $ is a compact $ C^2 $-regular hypersurface of $ \mathbf{R}^{n+1} $ such that the $ k $-th mea...
