조용승
홍순태
2016-08-28T12:08:00Z
2016-08-28T12:08:00Z
2010
0374-4884
OAK-7159
http://dspace.ewha.ac.kr/handle/2015.oak/221249
We 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.
English
Jacobi fields in path space
Article
6
57
SCIE
SCOPUS
KCI
1344
1349
Journal of the Korean Physical Society
10.3938/jkps.57.1344
WOS:000285486100003
2-s2.0-78650389018
Cho Y.S.
Hong S.-T.
조용승(14524281600)
홍순태(7405764717)
20170605111001