{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:10:41Z","timestamp":1760242241996,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2017,1,20]],"date-time":"2017-01-20T00:00:00Z","timestamp":1484870400000},"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>For the mean curvature vector field    H    and the Laplace operator \u0394 of a submanifold in the Minkowski space, a submanifold satisfying the condition     \u0394 H = f H + g C     is known as a generalized null 2-type, where f and g are smooth functions, and    C    is a constant vector. The notion of generalized null 2-type submanifolds is a generalization of null 2-type submanifolds defined by B.-Y. Chen. In this paper, we study flat surfaces in the Minkowski 3-space     L 3     and classify generalized null 2-type flat surfaces. In addition, we show that the only generalized null 2-type null scroll in     L 3     is a B-scroll.<\/jats:p>","DOI":"10.3390\/sym9010014","type":"journal-article","created":{"date-parts":[[2017,1,20]],"date-time":"2017-01-20T10:10:12Z","timestamp":1484907012000},"page":"14","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Generalized Null 2-Type Surfaces in Minkowski 3-Space"],"prefix":"10.3390","volume":"9","author":[{"given":"Dae","family":"Yoon","sequence":"first","affiliation":[{"name":"Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dong-Soo","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Chonnam National University, Gwangju 61186, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Young","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Kyungpook National University, Daegu 41566, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jae","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,1,20]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"380","DOI":"10.2969\/jmsj\/01840380","article-title":"Minimal immersions of Riemannian manifolds","volume":"18","author":"Takahashi","year":"1966","journal-title":"J. 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