Geodesic
A canonical connection on sub-Riemannian contact manifolds
Archivum mathematicum, Tome 52 (2016) no. 5, pp. 277-289 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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},
     journal = {Archivum mathematicum},
     pages = {277--289},
     year = {2016},
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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

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