Polynomial Sub-Riemannian Differentiability on Carnot-Carath,odory Spaces

摘要

We show that the classes of Holder mappings of Carnot-Carath,odory spaces are polynomially differentiable in the sub-Riemannian sense. Moreover, we prove the existence of intrinsic (or adapted) bases, which enable us to match the nonholonomic structures of the images of mappings and target spaces.