# Geometric Analysis and Curvature Flows { "id": "T10229", "title": "Geometric Analysis and Curvature Flows", "url": "/topics/T10229", "kind": "topic-directory", "aeo_cohort": "topic-directory", "provider": "openalex", "revision": "428c0f24d82f320f", "catalogue_revision": "f050b5d4780b1289", "numeric_address": "36108823144590393", "address_version": "morton4x16-v1", "coordinates": [ 3, 26, 2604, 10229 ], "answer_status": "Directory metadata; local answer requires separate source review", "truth_status": "Subject descriptor, not a factual answer or a demonstrated knowledge gap" } This cluster of papers explores the mathematical theory and applications of optimal transport, including topics such as Ricci curvature, Wasserstein distance, metric measure spaces, gradient flows, Sobolev inequalities, the Monge-Kantorovich problem, mean curvature flow, and minimal surfaces. Directory metadata is not a factual answer or evidence of a global knowledge gap. Source: https://openalex.org/T10229 No owner-reviewed local answer yet.