Holonomicity, semi-holonomicity and non-holonomicity of homogeneous and pseudo-homogeneous spaces
It is shown that generally a homogeneous space is semi-holonomic smooth manifold. The holonomicity condition of homogeneous space is found. It is shown that projective space possesses holonomicity of the 1st order and a triviality of the 2nd order. It is proved that pseudo-homogeneous space, generally speaking, non-holonomic.