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arXiv · 1604.05392

A canonical connection on sub-Riemannian contact manifolds

Michael Eastwood·Katharina Neusser
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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.

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Michael Eastwood, Katharina Neusser. 2016-04-19. A canonical connection on sub-Riemannian contact manifolds. https://arxiv.org/abs/1604.05392

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