{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:32:24Z","timestamp":1760059944307,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T00:00:00Z","timestamp":1753315200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The main objective of this paper is to investigate the properties related to the sectional curvatures of a K\u00e4hler golden manifold, an almost Hermitian golden manifold whose almost complex golden structure is parallel with respect to the Levi\u2013Civita connection. Under certain conditions, we prove that a K\u00e4hler golden manifold with constant sectional curvature is flat. We introduce the concepts of \u03a6-holomorphic sectional curvature and \u03a6-holomorphic bi-sectional curvature on a K\u00e4hler golden manifold, and compare them respectively with the holomorphic sectional curvature and holomorphic bi-sectional curvature on a K\u00e4hler manifold.<\/jats:p>","DOI":"10.3390\/axioms14080564","type":"journal-article","created":{"date-parts":[[2025,7,24]],"date-time":"2025-07-24T09:05:12Z","timestamp":1753347912000},"page":"564","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On the Geometry of the K\u00e4hler Golden Manifold"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1660-9326","authenticated-orcid":false,"given":"Cristina Elena","family":"Hre\u0163canu","sequence":"first","affiliation":[{"name":"Faculty of Food Engineering, Stefan cel Mare University, 720229 Suceava, Romania"}]},{"ORCID":"https:\/\/orcid.org\/0009-0000-6371-6397","authenticated-orcid":false,"given":"Valeria","family":"\u015eutu (C\u00eerlan)","sequence":"additional","affiliation":[{"name":"Faculty of Economics, Administration and Business, Stefan cel Mare University, 720229 Suceava, Romania"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1229","DOI":"10.1016\/j.chaos.2008.04.007","article-title":"Golden differential geometry","volume":"38","author":"Crasmareanu","year":"2008","journal-title":"Chaos Solitons Fractals"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"417","DOI":"10.37193\/CJM.2022.02.12","article-title":"Classification of pure metallic metric geometries","volume":"38","author":"Etayo","year":"2022","journal-title":"Carpathian J. 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Soc."},{"key":"ref_16","first-page":"37","article-title":"Schouten-van Kampen and Vranceanu connections on foliated manifolds","volume":"52","author":"Bejancu","year":"2006","journal-title":"An. Stiint. Univ. Al. I Cuza Iasi. Mat."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"225","DOI":"10.4310\/jdg\/1214428090","article-title":"Holomorphic bisectional curvature","volume":"1","author":"Goldberg","year":"1967","journal-title":"J. Differ. Geom."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Ballmann, W. (2006). Lectures on K\u00e4hler Manifolds, European Mathematical Society. ESI Lectures in Mathematics and Physics.","DOI":"10.4171\/025"}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/564\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T18:15:06Z","timestamp":1760033706000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/14\/8\/564"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,24]]},"references-count":18,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2025,8]]}},"alternative-id":["axioms14080564"],"URL":"https:\/\/doi.org\/10.3390\/axioms14080564","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2025,7,24]]}}}