Geodesic
A canonical connection on sub-Riemannian contact manifolds
Archivum mathematicum, Tome 52 (2016) no. 5, pp. 277-289.

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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.
DOI : 10.5817/AM2016-5-277
Classification : 53C17, 53D10, 70G45
Keywords: contact manifold; sub-Riemannian geometry; partial connection; pseudo-Hermitian geometry 
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     title = {A canonical connection on {sub-Riemannian} contact manifolds},
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     pages = {277--289},
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Eastwood, Michael; Neusser, Katharina. A canonical connection on sub-Riemannian contact manifolds. Archivum mathematicum, Tome 52 (2016) no. 5, pp. 277-289. doi : 10.5817/AM2016-5-277. http://geodesic.mathdoc.fr/articles/10.5817/AM2016-5-277/

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