{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T00:02:37Z","timestamp":1772150557809,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T00:00:00Z","timestamp":1746403200000},"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>In this paper, we study slant helices (or \u03be_2-helices) and Darboux helices in the Myller configuration M. We demonstrate that a curve in M is a slant helix if and only if it is a Darboux helix. We present the alternative frame for a curve in M. Furthermore, we derive the differential equations that characterize the curves in M using both the Frenet-type frame and the alternative frame.<\/jats:p>","DOI":"10.3390\/axioms14050353","type":"journal-article","created":{"date-parts":[[2025,5,5]],"date-time":"2025-05-05T21:42:09Z","timestamp":1746481329000},"page":"353","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Slant Helices and Darboux Helices in Myller Configuration"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1614-3228","authenticated-orcid":false,"given":"Yanlin","family":"Li","sequence":"first","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8179-9525","authenticated-orcid":false,"given":"Ak\u0131n","family":"Alkan","sequence":"additional","affiliation":[{"name":"G\u00f6rdes Vocational School, Manisa Celal Bayar University, Manisa 45750, Turkey"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9354-5530","authenticated-orcid":false,"given":"Mehmet","family":"\u00d6nder","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Engineering and Natural Sciences, Manisa Celal Bayar University, Manisa 45750, Turkey"}]},{"given":"Yuquan","family":"Xie","sequence":"additional","affiliation":[{"name":"School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,5]]},"reference":[{"key":"ref_1","unstructured":"Stoker, J.J. 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