Geodesic
Sub-Riemannian geometries on compact homogeneous spaces
Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 459-474

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We consider totally non-holonomic sub-Riemannian structures on compact homogeneous spaces and conjecture that, in most cases, the existence of such a structure implies that there is an invariant Riemannian structure. We prove a strengthened version of this conjecture for some important classes of compact homogeneous spaces.
Keywords: sub-Riemannian structure, homogeneous space.
Mots-clés : invariant distribution 
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     author = {V. V. Gorbatsevich},
     title = {Sub-Riemannian geometries on compact homogeneous spaces},
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     number = {3},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a2/}
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V. V. Gorbatsevich. Sub-Riemannian geometries on compact homogeneous spaces. Izvestiya. Mathematics , Tome 78 (2014) no. 3, pp. 459-474. http://geodesic.mathdoc.fr/item/IM2_2014_78_3_a2/