  The author discusses in some detail the old definitions of the curvature
tensors for rigged metrized distributions on manifolds given by Schouten,
Wagner, and Solov'ev. To calculate the Solov'ev sectional and Ricci curvatures
for homogeneous sub-Riemannian manifolds, the author suggests to use in some
cases special riggings of invariant completely non- holonomic distributions on
manifolds. As a justification, we find a foliation on the cotangent bundle over
a Lie group G whose leaves are tangent to invariant Hamiltonian vector fields
for the Pontryagin-Hamilton func- tion. This function was applied in the
Pontryagin maximum principle for the time-optimal problem. The foliation is
entirely described by the co-adjoint representation of the Lie group G. Also we
use the canonical symplectic form and its values for the above mentioned
invari- ant Hamiltonian vector fields. In particular, the above rigging method
is applicable to contact sub-Riemannian manifolds, sub-Riemannian Carnot
groups, and homogeneous sub-Riemannian manifolds possessing a subme- try onto a
Riemannian manifold. At the end, some examples are presented.
