{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,16]],"date-time":"2025-12-16T11:15:12Z","timestamp":1765883712203,"version":"3.48.0"},"reference-count":27,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2025,12,16]],"date-time":"2025-12-16T00:00:00Z","timestamp":1765843200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Science, Technological Development and Innovation of Serbia","award":["451-03-137\/2025-03\/200124"],"award-info":[{"award-number":["451-03-137\/2025-03\/200124"]}]},{"name":"Serbian Ministry of Science, Technological Development, and Patents"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this article, we generalize Yano\u2019s concept of a half-symmetric affine connection. With respect to this generalization, we obtain five linearly independent curvature tensors. In the following, we examine which special kinds of affine connections may be the generalized half-symmetric affine connection. At the end of this work, we generalize the term of Killing\u2019s vector given by Yano to affine Killing, conformal Killing, projective Killing, harmonic, and covariant and contravariant analytic vectors.<\/jats:p>","DOI":"10.3390\/axioms14120923","type":"journal-article","created":{"date-parts":[[2025,12,16]],"date-time":"2025-12-16T11:00:26Z","timestamp":1765882826000},"page":"923","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Half-Symmetric Connections of Generalized Riemannian Spaces"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-1961-0797","authenticated-orcid":false,"given":"Marko","family":"Stefanovi\u0107","sequence":"first","affiliation":[{"name":"Faculty of Sciences and Mathematics, University of Ni\u0161, 18000 Ni\u0161, Serbia"},{"name":"Faculty of Information Technology, Metropolitan University, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5632-0041","authenticated-orcid":false,"given":"Mi\u0107a S.","family":"Stankovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Sciences and Mathematics, University of Ni\u0161, 18000 Ni\u0161, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9414-0711","authenticated-orcid":false,"given":"Ivana","family":"Djuri\u0161i\u0107","sequence":"additional","affiliation":[{"name":"Institute for Multidisciplinary Research, University of Belgrade, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7598-9058","authenticated-orcid":false,"given":"Nenad","family":"Vesi\u0107","sequence":"additional","affiliation":[{"name":"Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,12,16]]},"reference":[{"key":"ref_1","unstructured":"Mike\u0161, J., Stepanova, E.S., Van\u017eurov\u00e1, A., B\u00e1cs\u00f3, S., Berezovski, V.E., Chepurna, E., Chodorov\u00e1, M., Chud\u00e1, H., Formella, S., and Gavrilchenko, M.L. 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