A remark on the geometric interpretation of the A3w condition from optimal transport
Cale Rankin
TL;DR
This paper offers a geometric perspective on the A3w condition, which is crucial for understanding the regularity of optimal transport maps, thereby deepening theoretical insights in optimal transport geometry.
Contribution
It introduces a geometric interpretation of the A3w condition, enhancing the theoretical framework for regularity in optimal transport maps.
Findings
Provides a new geometric interpretation of A3w
Deepens understanding of regularity conditions in optimal transport
Bridges geometric intuition with optimal transport theory
Abstract
We provide a geometric interpretation of the well known A3w condition for regularity of optimal transport maps.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Geometric Analysis and Curvature Flows · Mathematics and Applications