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dc.contributor.author조용승-
dc.contributor.author홍순태-
dc.date.accessioned2016-08-28T12:08:00Z-
dc.date.available2016-08-28T12:08:00Z-
dc.date.issued2010-
dc.identifier.issn0374-4884-
dc.identifier.otherOAK-7159-
dc.identifier.urihttp://dspace.ewha.ac.kr/handle/2015.oak/221249-
dc.description.abstractWe consider the path space of a curved manifold on which a point particle is introduced in a conservative physical system with constant total energy to formulate its action functional and geodesic equation with breaks on the path. The second variation of the action functional is exploited to yield the geodesic deviation equation and to discuss the Jacobi fields on the curved manifold. We investigate the topology of the path space by using the action functional on it and its physical meaning by defining the gradient of the action functional, the space of bounded flow energy solutions and the moduli space associated with the critical points of the action functional. We also consider the particle motion on the n-sphere Sn in a conservative physical system to discuss explicitly the moduli space of the path space, the corresponding homology groups and the Sturm-Liouville operators.-
dc.languageEnglish-
dc.titleJacobi fields in path space-
dc.typeArticle-
dc.relation.issue6-
dc.relation.volume57-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.indexKCI-
dc.relation.startpage1344-
dc.relation.lastpage1349-
dc.relation.journaltitleJournal of the Korean Physical Society-
dc.identifier.doi10.3938/jkps.57.1344-
dc.identifier.wosidWOS:000285486100003-
dc.identifier.scopusid2-s2.0-78650389018-
dc.author.googleCho Y.S.-
dc.author.googleHong S.-T.-
dc.contributor.scopusid조용승(14524281600)-
dc.contributor.scopusid홍순태(7405764717)-
dc.date.modifydate20170605111001-
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자연과학대학 > 수학전공 > Journal papers
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