Stability of the value function and set minimizers w.r.t. given data is a desirable feature optimal transport problems. For classical Kantorovich problem, stability satisfied under mild assumptions in general frameworks such as one Polish spaces. However, for martingale problem several works based on different strategies established results Ronly. We show that restriction to dimension d=1 not a...

The purpose of this article is to study co-dimension $2$ iso-contact embeddings closed contact manifolds. We first show that a manifold $(M^{2n-1}, \xi_M)$ embeds in $(N^{2n+1}, \xi_N),$ provided $M$ $(N, \xi_N)$ with trivial normal bundle and the structure induced on via embedding homotopic as an almost-contact $\xi_M.$ apply result establish $3$--manifold having no $2$--torsion its second int...