Geodesic
Curves in Homogeneous Spaces
Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 77-83

Voir la notice de l'article provenant de la source Cambridge University Press

Let be a Lie group with connected Lie subgroup , and let M(t), N(i) be real analytic curves in , the Lie algebra of , with . The main result in this paper is a Lie algebraic condition which is necessary and sufficient for 
Hirschorn, Ronald M. Curves in Homogeneous Spaces. Canadian journal of mathematics, Tome 29 (1977) no. 1, pp. 77-83. doi: 10.4153/CJM-1977-007-2
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[1] 1. Goto, M., Orbits of one-parameter groups, I, J. Math. Soc. Japan 22 (1970). Google Scholar

[2] 2. Helgason, S., Differential geometry and symmetric spaces (Academic Press, 1962). Google Scholar

[3] 3. Brockett, R. W., System theory on group manifolds and coset spaces, SI AM J. Control, 10 (1972). Google Scholar

[4] 4. Sussmann, H. and Jurdjevic, V., Control system on Lie groups, J. Diff. Equations (1972).10.1016/0022-0396(72)90035-6 Google Scholar | DOI

[5] 5. Mayne, D. Q. and Brockett, R. W., Geometric methods in system theory, N.A.T.O. A.S.I. series (D. Reidel, 1973). Google Scholar | DOI

[6] 6. Hofmann, K. H., Lie algebras with subalgebras of co-dimension one, Illinois J. Math. 9 (1965), 636–643. Google Scholar

[7] 7. Jacobson, N., Lie algebras (J. Wiley and Sons, 1962). Google Scholar

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