{"cited_by_count":693954,"description":"This cluster of papers explores the application of Finsler geometry in physics and cosmology, including topics such as Riemannian manifolds, general relativity, cosmological models, Einstein gravity, Randers metrics, projectively flat metrics, homogeneous manifolds, Jacobi stability analysis, and the potential role of Finsler geometry in understanding dark matter and dark energy.","display_name":"Advanced Differential Geometry Research","domain_id":"3","external_ids":{"openalex":"https://openalex.org/T13080","wikipedia":"https://en.wikipedia.org/wiki/Finsler_geometry"},"field_id":"31","id":"T13080","keywords":[{"display_name":"differential geometry","id":"differential-geometry","score":0.3546,"url":"https://openalex.org/keywords/differential-geometry"},{"display_name":"Riemannian geometry","id":"riemannian-geometry","score":0.4074,"url":"https://openalex.org/keywords/riemannian-geometry"},{"display_name":"Riemannian manifolds","id":"riemannian-manifolds","score":0.2718,"url":"https://openalex.org/keywords/riemannian-manifolds"},{"display_name":"differential geometry of surfaces","id":"differential-geometry-of-surfaces","score":0.6204,"url":"https://openalex.org/keywords/differential-geometry-of-surfaces"},{"display_name":"differential geometry of curves","id":"differential-geometry-of-curves","score":0.6301,"url":"https://openalex.org/keywords/differential-geometry-of-curves"},{"display_name":"geodesics","id":"geodesics","score":0.2933,"url":"https://openalex.org/keywords/geodesics"},{"display_name":"curvature","id":"curvature","score":0.2259,"url":"https://openalex.org/keywords/curvature"},{"display_name":"submanifolds","id":"submanifolds","score":0.5914,"url":"https://openalex.org/keywords/submanifolds"},{"display_name":"Finsler geometry","id":"finsler-geometry","score":0.7424,"url":"https://openalex.org/keywords/finsler-geometry"},{"display_name":"submanifold geometry","id":"submanifold-geometry","score":0.7805,"url":"https://openalex.org/keywords/submanifold-geometry"},{"display_name":"curvature tensor","id":"curvature-tensor","score":0.6668,"url":"https://openalex.org/keywords/curvature-tensor"},{"display_name":"hypersurfaces","id":"hypersurfaces","score":0.3044,"url":"https://openalex.org/keywords/hypersurfaces"},{"display_name":"conformal geometry","id":"conformal-geometry","score":0.3197,"url":"https://openalex.org/keywords/conformal-geometry"},{"display_name":"differential forms","id":"differential-forms","score":0.2551,"url":"https://openalex.org/keywords/differential-forms"},{"display_name":"Finsler manifolds","id":"finsler-manifolds","score":0.7866,"url":"https://openalex.org/keywords/finsler-manifolds"},{"display_name":"affine connections","id":"affine-connections","score":0.6708,"url":"https://openalex.org/keywords/affine-connections"},{"display_name":"homogeneous spaces","id":"homogeneous-spaces","score":0.2119,"url":"https://openalex.org/keywords/homogeneous-spaces"},{"display_name":"Riemannian metrics","id":"riemannian-metrics","score":0.3044,"url":"https://openalex.org/keywords/riemannian-metrics"},{"display_name":"tangent bundle","id":"tangent-bundle","score":0.5207,"url":"https://openalex.org/keywords/tangent-bundle"},{"display_name":"Finsler metrics","id":"finsler-metrics","score":0.7137,"url":"https://openalex.org/keywords/finsler-metrics"},{"display_name":"smooth manifolds","id":"smooth-manifolds","score":0.2559,"url":"https://openalex.org/keywords/smooth-manifolds"},{"display_name":"pseudo-Riemannian manifolds","id":"pseudo-riemannian-manifolds","score":0.7372,"url":"https://openalex.org/keywords/pseudo-riemannian-manifolds"},{"display_name":"Ricci tensor","id":"ricci-tensor","score":0.5605,"url":"https://openalex.org/keywords/ricci-tensor"},{"display_name":"mean curvature","id":"mean-curvature","score":0.2473,"url":"https://openalex.org/keywords/mean-curvature"},{"display_name":"second fundamental form","id":"second-fundamental-form","score":0.4715,"url":"https://openalex.org/keywords/second-fundamental-form"}],"legacy_keywords":["Finsler Geometry","Riemannian Manifolds","General Relativity","Cosmology","Einstein Gravity","Randers Metrics","Projectively Flat Metrics","Homogeneous Manifolds","Jacobi Stability Analysis","Dark Matter and Dark Energy"],"openalex_id":"https://openalex.org/T13080","source_created_date":"2024-01-23T15:27:16","source_updated_date":"2026-10-17T03:02:00","subfield_id":"3103","url":"/topics/T13080","works_api_url":"https://api.openalex.org/works?filter=topics.id:T13080","works_count":95086,"label":"Advanced Differential Geometry Research","provider":"openalex","revision":"cbad51fb7a8143b5","taxonomy_revision":"f050b5d4780b1289","title":"Advanced Differential Geometry Research","kind":"topic-directory","aeo_cohort":"topic-directory","catalogue_revision":"f050b5d4780b1289","numeric_address":"38355947739866743","address_version":"morton4x16-v1","coordinates":[3,31,3103,13080],"answer_status":"Directory metadata; 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