Please use this identifier to cite or link to this item:
http://acervodigital.unesp.br/handle/11449/25130
- Title:
- Curves in homogeneous spaces and their contact with 1-dimensional orbits
- Kyushu Univ
- Universidade Estadual Paulista (UNESP)
- 0046-5755
- Japan Society for the Promotion of Science
- JSPS: 19340018
- Let 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.
- 1-Oct-2011
- Geometriae Dedicata. Dordrecht: Springer, v. 154, n. 1, p. 117-131, 2011.
- 117-131
- Springer
- Contact
- Homogeneous space
- Lie group
- 1-parameter subgroup
- Lie algebra
- http://dx.doi.org/10.1007/s10711-010-9571-y
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/25130
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.