{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:55:35Z","timestamp":1753883735509,"version":"3.41.2"},"reference-count":8,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,1,18]],"date-time":"2012-01-18T00:00:00Z","timestamp":1326844800000},"content-version":"vor","delay-in-days":17,"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>For submanifolds tangent to the structure vector field in Sasakian\nspace forms, we establish a Chen\u2032s basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature\nand pseudosectional curvature on one side) and the main extrinsic invariant\n(namely, squared pseudomean curvature on the other side) with respect to\nthe Tanaka\u2010Webster connection. Moreover, involving the pseudo\u2010Ricci curvature and the squared pseudo\u2010mean curvature, we obtain a basic inequality\nfor submanifolds of a Sasakian space form tangent to the structure vector\nfield in terms of the Tanaka\u2010Webster connection.<\/jats:p>","DOI":"10.1155\/2012\/231416","type":"journal-article","created":{"date-parts":[[2012,1,18]],"date-time":"2012-01-18T21:01:12Z","timestamp":1326920472000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Basic Inequality for the Tanaka\u2010Webster Connection"],"prefix":"10.1155","volume":"2012","author":[{"given":"Dae Ho","family":"Jin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jae Won","family":"Lee","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,1,18]]},"reference":[{"key":"e_1_2_5_1_2","first-page":"58","volume-title":"Geometry and Topology of Submanifolds","author":"Chen B.-Y.","year":"1994"},{"key":"e_1_2_5_2_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3604-5"},{"key":"e_1_2_5_3_2","doi-asserted-by":"publisher","DOI":"10.4099\/math1924.2.131"},{"key":"e_1_2_5_4_2","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1214434345"},{"key":"e_1_2_5_5_2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1989-1000553-9"},{"key":"e_1_2_5_6_2","doi-asserted-by":"publisher","DOI":"10.1007\/BF01236084"},{"key":"e_1_2_5_7_2","doi-asserted-by":"publisher","DOI":"10.1017\/S001708950003130X"},{"key":"e_1_2_5_8_2","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089599970271"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/231416.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2012\/231416.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2012\/231416","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T06:44:17Z","timestamp":1718088257000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2012\/231416"}},"subtitle":[],"editor":[{"given":"C.","family":"Conca","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1155\/2012\/231416"],"URL":"https:\/\/doi.org\/10.1155\/2012\/231416","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":"2011-11-07","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2011-11-28","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2012-01-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"231416"}}