A canonical connection on sub-Riemannian contact manifolds
Differential Geometry
2016-04-21 v2
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.
Keywords
Cite
@article{arxiv.1604.05392,
title = {A canonical connection on sub-Riemannian contact manifolds},
author = {Michael Eastwood and Katharina Neusser},
journal= {arXiv preprint arXiv:1604.05392},
year = {2016}
}
Comments
12 pages. Misprint in Proposition 3.1 corrected in this version