{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:34:59Z","timestamp":1753886099577,"version":"3.41.2"},"reference-count":11,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,11,1]],"date-time":"2011-11-01T00:00:00Z","timestamp":1320105600000},"content-version":"vor","delay-in-days":304,"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>We study characteristic <jats:italic>r<\/jats:italic>\u2010lightlike submanifolds <jats:italic>M<\/jats:italic> tangent to the characteristic vector fields in an indefinite metric <jats:italic>\ud835\udcae<\/jats:italic>\u2010manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite <jats:italic>\ud835\udcae<\/jats:italic>\u2010space form under suitable hypotheses: (1) <jats:italic>M<\/jats:italic> is totally umbilical or (2) its screen distribution <jats:italic>S<\/jats:italic>(<jats:italic>T<\/jats:italic><jats:italic>M<\/jats:italic>) is totally umbilical in <jats:italic>M<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/2011\/140259","type":"journal-article","created":{"date-parts":[[2011,11,1]],"date-time":"2011-11-01T19:00:54Z","timestamp":1320174054000},"update-policy":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Characteristic Lightlike Submanifolds of an Indefinite <i>\ud835\udcae<\/i>\u2010Manifold"],"prefix":"10.1155","volume":"2011","author":[{"given":"Jae Won","family":"Lee","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,11]]},"reference":[{"key":"e_1_2_6_1_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-2089-2"},{"key":"e_1_2_6_2_2","doi-asserted-by":"publisher","DOI":"10.1155\/2007\/57585"},{"key":"e_1_2_6_3_2","doi-asserted-by":"publisher","DOI":"10.1007\/s13226\u2010010\u20100032\u2010y"},{"key":"e_1_2_6_4_2","unstructured":"JinD. H. Geometry of half lightlike submanifolds of an indefinite Sasakian manifold submitted toBulletin of the Korean Mathematical Society."},{"key":"e_1_2_6_5_2","first-page":"183","article-title":"Curvature of a class of indefinite globally framed f-manifolds","volume":"51","author":"Brunetti L.","year":"2008","journal-title":"Bulletin Math\u00e9matique de la Soci\u00e9t\u00e9 des Sciences Math\u00e9matiques de Roumanie"},{"key":"e_1_2_6_6_2","first-page":"18","article-title":"Lightlike hypersurfaces in indefinite \ud835\udcae-manifolds","volume":"12","author":"Brunetti L.","year":"2010","journal-title":"Differential Geometry"},{"key":"e_1_2_6_7_2","unstructured":"JinD. H. Generic lightlike submanifolds of an indefinite Sasakian manifold."},{"key":"e_1_2_6_8_2","unstructured":"LeeJ. W.andJinD. H. Half lightlike submanifolds in indefinite\ud835\udcae-manifolds to appear inTaiwanese Journal of Mathematics."},{"volume-title":"Foundations of Differential Geometry","year":"1963","author":"Kobayashi S.","key":"e_1_2_6_9_2"},{"key":"e_1_2_6_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-8761-7"},{"key":"e_1_2_6_11_2","doi-asserted-by":"publisher","DOI":"10.2996\/kmj\/1238594548"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/140259.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/http\/downloads.hindawi.com\/journals\/ijmms\/2011\/140259.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2011\/140259","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,10]],"date-time":"2024-06-10T13:51:08Z","timestamp":1718027468000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/onlinelibrary.wiley.com\/doi\/10.1155\/2011\/140259"}},"subtitle":[],"editor":[{"given":"Christian","family":"Corda","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2011,1]]},"references-count":11,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["10.1155\/2011\/140259"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1155\/2011\/140259","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2011,1]]},"assertion":[{"value":"2011-04-12","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-08-23","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-11-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"140259"}}