3 problems

Let $f535$ be a probability measure on $f535$ that is a $CD(\kappa,N+1)$-needle, where $N\in(0,+\infty]$ and $\kappa\geq0$. Let $\varphi:\mathbb R\to\mathbb R$ be continuous and…

Let $f534$ be an open convex subset of $f535^n$, let $u:f534\tof535^k$ be a $1$-Lipschitz map, and let $f536$ be an $n$-dimensional weighted Riemannian manifold of class…

The preceding results concern needle decompositions on Riemannian manifolds. A smooth Finsler manifold is a smooth manifold equipped with a smooth Finsler metric, generalizing a Ri…