{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:37:24Z","timestamp":1753886244838,"version":"3.41.2"},"reference-count":10,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,28]],"date-time":"2012-05-28T00:00:00Z","timestamp":1338163200000},"content-version":"vor","delay-in-days":148,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We study the geometry of lightlike submanifolds (<jats:italic>M<\/jats:italic>, <jats:italic>g<\/jats:italic>, <jats:italic>S<\/jats:italic>(<jats:italic>T<\/jats:italic><jats:italic>M<\/jats:italic>), <jats:italic>S<\/jats:italic>(<jats:italic>T<\/jats:italic><jats:italic>M<\/jats:italic><jats:sup>\u22a5<\/jats:sup>)) of a semi\u2010Riemannian manifold  of quasiconstant curvature subject to the following conditions: (1) the curvature vector field <jats:italic>\u03b6<\/jats:italic> of  is tangent to <jats:italic>M<\/jats:italic>, (2) the screen distribution <jats:italic>S<\/jats:italic>(<jats:italic>T<\/jats:italic><jats:italic>M<\/jats:italic>) of <jats:italic>M<\/jats:italic> is totally geodesic in <jats:italic>M<\/jats:italic>, and (3) the coscreen distribution <jats:italic>S<\/jats:italic>(<jats:italic>T<\/jats:italic><jats:italic>M<\/jats:italic><jats:sup>\u22a5<\/jats:sup>) of <jats:italic>M<\/jats:italic> is a conformal Killing distribution.<\/jats:p>","DOI":"10.1155\/2012\/636782","type":"journal-article","created":{"date-parts":[[2012,5,29]],"date-time":"2012-05-29T07:13:58Z","timestamp":1338275638000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Lightlike Submanifolds of a Semi\u2010Riemannian Manifold of Quasi\u2010Constant Curvature"],"prefix":"10.1155","volume":"2012","author":[{"given":"D. H.","family":"Jin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J. 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H.","year":"2008","journal-title":"Honam Mathematical Journal"},{"key":"e_1_2_7_8_2","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/j.geomphys.2006.04.001","article-title":"On scalar curvature in lightlike geometry","volume":"57","author":"Duggal K. L.","year":"2007","journal-title":"Journal of Geometry and Physics"},{"key":"e_1_2_7_9_2","doi-asserted-by":"publisher","DOI":"10.4134\/BKMS.2010.47.2.341"},{"key":"e_1_2_7_10_2","first-page":"93","article-title":"A class of almost contact Riemannian manifolds","volume":"21","author":"Kenmotsu K.","year":"1972","journal-title":"The Tohoku Mathematical Journal. Second Series"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/636782.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/636782.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/636782","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T07:01:14Z","timestamp":1718089274000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/636782"}},"subtitle":[],"editor":[{"given":"Chein-Shan","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":10,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/636782"],"URL":"https:\/\/doi.org\/10.1155\/2012\/636782","archive":["Portico"],"relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2012,1]]},"assertion":[{"value":"2012-01-19","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-03-14","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-05-28","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"636782"}}