Geodesic
On Invariant Sub-Riemannian Structures on Compact Homogeneous Spaces with Discrete Stationary Subgroup
Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 821-829

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In the paper, invariant distributions on compact homogeneous spaces with discrete stationary subgroup are studied. Special attention is paid to the presence of a sub-Riemannian structure on these distributions and to the condition of complete nonholonomicity. A description of the above homogeneous spaces admitting an invariant completely nonholonomic sub-Riemannian structure is obtained.
Keywords: compact homogeneous space, discrete stationary subgroup, sub-Riemannian structure.
Mots-clés : invariant distribution 
@article{MZM_2014_95_6_a2,
     author = {V. V. Gorbatsevich},
     title = {On {Invariant} {Sub-Riemannian} {Structures} on {Compact} {Homogeneous} {Spaces} with {Discrete} {Stationary} {Subgroup}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {821--829},
     publisher = {mathdoc},
     volume = {95},
     number = {6},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a2/}
}
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V. V. Gorbatsevich. On Invariant Sub-Riemannian Structures on Compact Homogeneous Spaces with Discrete Stationary Subgroup. Matematičeskie zametki, Tome 95 (2014) no. 6, pp. 821-829. http://geodesic.mathdoc.fr/item/MZM_2014_95_6_a2/