M. Warren

activity

20082026

most citedRectifiability of Optimal Transportation Plans

25 citations · 29 across the 10 of their papers we have counts for

collaborators

Showing 2009Show all

2 papers · 1 filter

math.DG2009★ 2 cited

Pseudo-Riemannian geometry calibrates optimal transportation

Young-Heon Kim, Robert J. McCann, Micah Warren

Given a transportation cost $c : M \times M ˉ \to R$ , optimal maps minimize the total cost of moving masses from $M$ to $M ˉ$ . We find a pseudo-metric and a calibration…

math.DG2009

Existence of Complete conformal metrics of negative Ricci curvature on manifolds with boundary

Matthew Gursky, Jeffrey Streets, Micah Warren

We show that on a compact Riemannian manifold with boundary there exists $u \in C^{\infty} (M)$ such that, $u_{∣ \partial M} \equiv 0$ and $u$ solves the $σ_{k}$ -Ricci problem. In the…