2 problems

Let $\Gamma_{\mathcal{F}}(\mu,\nu)$ be the set of $\mathcal{F}$-transports between $\mu$ and $\nu$, with an associated measure $\theta$ on an index space $I$ and conditional measu…

Let $u\colon\mathbb{R}^n\to\mathbb{R}^m$ be a $1$-Lipschitz map with respect to the Euclidean norms, and let $(\mathbb{R}^n,\lVert\cdot\rVert,\mu)$ be a weighted Riemannian manifol…