do Nascimento, Vanderlei M. [UNESP]Saeki, Osamu2013-09-302014-05-202013-09-302014-05-202011-10-01Geometriae Dedicata. Dordrecht: Springer, v. 154, n. 1, p. 117-131, 2011.0046-5755http://hdl.handle.net/11449/25130Let alpha be a C(infinity) curve in a homogeneous space G/H. For each point x on the curve, we consider the subspace S(k)(alpha) of the Lie algebra G of G consisting of the vectors generating a one parameter subgroup whose orbit through x has contact of order k with alpha. In this paper, we give various important properties of the sequence of subspaces G superset of S(1)(alpha) superset of S(2)(alpha) superset of S(3)(alpha) superset of ... In particular, we give a stabilization property for certain well-behaved curves. We also describe its relationship to the isotropy subgroup with respect to the contact element of order k associated with alpha.117-131engContactHomogeneous spaceLie group1-parameter subgroupLie algebraArtigo10.1007/s10711-010-9571-yWOS:000294565900008Acesso restrito