# Geometry and complex manifolds { "id": "T12351", "title": "Geometry and complex manifolds", "url": "/topics/T12351", "kind": "topic-directory", "aeo_cohort": "topic-directory", "provider": "openalex", "revision": "0ae79ac52ace8113", "catalogue_revision": "f050b5d4780b1289", "numeric_address": "38351240468277433", "address_version": "morton4x16-v1", "coordinates": [ 3, 26, 2608, 12351 ], "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 focuses on the geometry, stability, and properties of Kähler metrics, including topics such as scalar curvature, K-stability, complex Monge-Ampère equations, Ricci flow, Fano manifolds, Calabi-Yau manifolds, and geometric quantization. Directory metadata is not a factual answer or evidence of a global knowledge gap. Source: https://openalex.org/T12351 No owner-reviewed local answer yet.