A canonical connection on sub-Riemannian contact manifolds

2016/04/19 by Eastwood, Michael, Neusser, Katharina
#70G45 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C17 #Secondary 53D10

paper · doi:10.48550/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.

Related

• Canonical connections on sub-Riemannian manifolds with constant symbol
• Connections and Curvature in sub-Riemannian geometry
• Canonical connection on contact manifolds
• A Natural Connection on (2,3) Sub-Riemannian Manifolds
• Submanifolds in contact geometry