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However, most existing methods rely on Euclidean space, which struggles to model complex hierarchies (e.g., administrative district nesting) and spatial heterogeneity (e.g., uneven relationship density between urban and rural areas). To address these issues, we propose a curvature\u2010adaptive hyperbolic GKGE (CAH\u2010GKGE) method. Specifically, by leveraging the negative curvature of hyperbolic space, CAH\u2010GKGE not only effectively captures hierarchical structures but also dynamically adapts local curvature to reflect regional structural variations. To achieve this, it adopts a region\u2010guided subgraph sampling strategy to partition the GeoKG and employs meta\u2010learning to optimize curvature for each region, thereby enhancing structural representation and modeling spatial heterogeneity. Experiments on 13 GeoKG datasets demonstrate that CAH\u2010GKGE consistently outperforms competitive baselines across multiple evaluation metrics, validating its effectiveness. This study introduces a novel framework for modeling complex hierarchical structures in GeoKGs through curvature adaptation.<\/jats:p>","DOI":"10.1111\/tgis.70234","type":"journal-article","created":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T04:58:20Z","timestamp":1773809900000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Curvature\u2010Adaptive Embedding of Geographic Knowledge Graphs in Hyperbolic Space"],"prefix":"10.1111","volume":"30","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-6776-5796","authenticated-orcid":false,"given":"Chenchen","family":"Guo","sequence":"first","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hong","family":"Yao","sequence":"additional","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"},{"name":"State Key Laboratory of Biogeology and Environmental Geology China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1829-4006","authenticated-orcid":false,"given":"Shenwen","family":"Li","sequence":"additional","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"},{"name":"State Key Laboratory of Biogeology and Environmental Geology China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Renyao","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Lijun","family":"Dong","sequence":"additional","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"},{"name":"State Key Laboratory of Biogeology and Environmental Geology China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiaojun","family":"Kang","sequence":"additional","affiliation":[{"name":"School of Computer Science China University of Geosciences  Wuhan China"},{"name":"State Key Laboratory of Biogeology and Environmental Geology China University of Geosciences  Wuhan China"},{"name":"Hubei Key Laboratory of Intelligent Geo\u2010Information Processing China University of Geosciences  Wuhan China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,3,17]]},"reference":[{"key":"e_1_2_12_2_1","doi-asserted-by":"publisher","DOI":"10.1177\/0361198196155100113"},{"key":"e_1_2_12_3_1","volume-title":"Multi\u2010Relational Poincar\u00e9 Graph Embeddings","author":"Balazevic I.","year":"2019"},{"key":"e_1_2_12_4_1","volume-title":"Translating Embeddings for Modeling Multi\u2010Relational Data","author":"Bordes A.","year":"2013"},{"key":"e_1_2_12_5_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-4992-0"},{"key":"e_1_2_12_6_1","doi-asserted-by":"crossref","unstructured":"Chami I. 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