{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T22:10:02Z","timestamp":1723068602505},"reference-count":0,"publisher":"Wiley","issue":"15","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"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":[[2004,1]]},"abstract":"<jats:p>The moving frame and associated Gauss\u2010Codazzi equations for\nsurfaces in three\u2010space are introduced. A quaternionic\nrepresentation is used to identify the Gauss\u2010Weingarten equation\nwith a particular Lax representation. Several examples are given,\nsuch as the case of constant mean curvature.<\/jats:p>","DOI":"10.1155\/s0161171204310392","type":"journal-article","created":{"date-parts":[[2004,3,30]],"date-time":"2004-03-30T18:16:58Z","timestamp":1080670618000},"page":"755-762","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Quaternionic representation of the moving frame for surfaces inEuclidean three\u2010space and Lax pair"],"prefix":"10.1155","volume":"2004","author":[{"given":"Paul","family":"Bracken","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,3,30]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/184795.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204310392","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T21:32:13Z","timestamp":1723066333000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204310392"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"15","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204310392"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204310392","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-10-05","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-03-30","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}