Abstract
We define a new type of metric comparison similar to the comparison of Alexandrov. We show that it has strong connections to continuity of optimal transport between regular measures on a Riemannian manifold, in particular to the so called MTW condition introduced by Xi-Nan Ma, Neil Trudinger and Xu-Jia Wang.
Original language | English (US) |
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Pages (from-to) | 258-282 |
Number of pages | 25 |
Journal | Geometric and Functional Analysis |
Volume | 29 |
Issue number | 1 |
DOIs | |
State | Published - Feb 5 2019 |
All Science Journal Classification (ASJC) codes
- Analysis
- Geometry and Topology