{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,18]],"date-time":"2025-11-18T12:26:24Z","timestamp":1763468784409,"version":"build-2065373602"},"reference-count":31,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T00:00:00Z","timestamp":1656892800000},"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 define surfaces of revolution without parabolic points in three-dimensional Lorentz\u2013Minkowski space. Then, we classify this class of surfaces under the condition \u0394IIIx=Ax, where \u0394III is the Laplace operator regarding the third fundamental form, and A is a real square matrix of order 3. We prove that such surfaces are either catenoids or surfaces of Enneper, or pseudo spheres or hyperbolic spaces centered at the origin.<\/jats:p>","DOI":"10.3390\/axioms11070326","type":"journal-article","created":{"date-parts":[[2022,7,4]],"date-time":"2022-07-04T11:15:05Z","timestamp":1656933305000},"page":"326","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Classification of Surfaces of Coordinate Finite Type in the Lorentz\u2013Minkowski 3-Space"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5545-8084","authenticated-orcid":false,"given":"Hassan","family":"Al-Zoubi","sequence":"first","affiliation":[{"name":"Department of Mathematics, Al-Zaytoonah University of Jordan, P.O. Box 130, Amman 11733, Jordan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2528-2131","authenticated-orcid":false,"given":"Alev Kelleci","family":"Akbay","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Iskenderun Technical University, Hatay 23100, Turkey"}]},{"given":"Tareq","family":"Hamadneh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Al-Zaytoonah University of Jordan, P.O. Box 130, Amman 11733, Jordan"}]},{"given":"Mutaz","family":"Al-Sabbagh","sequence":"additional","affiliation":[{"name":"Department of Basic Engineering, Imam Abdulrahman bin Faisal University, Dammam 31441, Saudi Arabia"}]}],"member":"1968","published-online":{"date-parts":[[2022,7,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Chen, B.-Y. (2014). Total Mean Curvature and Submanifolds of Finite Type, World Scientific Publisher. 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