{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T00:45:24Z","timestamp":1760229924178,"version":"build-2065373602"},"reference-count":10,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,6,29]],"date-time":"2022-06-29T00:00:00Z","timestamp":1656460800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Let Mk be a metric E4=I\u2212manifold equipped with electromagnetic-type structure E, a pseudo-Riemannian metric g and a nondegenerate 2\u2212form \u03c9^. The paper deals with Codazzi couplings of an affine connection \u2207 with E, g and \u03c9^. We present some results concerning the relationship of these Codazzi couplings. In addition, we construct the connection between Codazzi couplings and e\u2212(E4=I) Kaehler manifolds.<\/jats:p>","DOI":"10.3390\/sym14071346","type":"journal-article","created":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T01:38:48Z","timestamp":1656553128000},"page":"1346","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Codazzi Couplings on the Metric (E4 = I)\u2212Manifolds"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6747-6757","authenticated-orcid":false,"given":"Sibel","family":"Turanli","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Erzurum Technical University, Erzurum 25050, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7505-0385","authenticated-orcid":false,"given":"Aydin","family":"Gezer","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Ataturk University, Erzurum 25240, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,6,29]]},"reference":[{"key":"ref_1","first-page":"145","article-title":"Structures in electromagnetic field","volume":"30","author":"Mishra","year":"1976","journal-title":"Tensor N.S."},{"key":"ref_2","unstructured":"Hlavaty, V. 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