A canonical connection on sub-Riemannian contact manifolds
arXiv:1604.05392
Abstract
We construct a canonically defined affine connection in sub-Riemannian contact geometry. Our method mimics that of the Levi-Civita connection in Riemannian geometry. We compare it with the Tanaka-Webster connection in the three-dimensional case.
12 pages. Misprint in Proposition 3.1 corrected in this version