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Keywords:
contact manifold; sub-Riemannian geometry; partial connection; pseudo-Hermitian geometry
contact manifold; sub-Riemannian geometry; partial connection; pseudo-Hermitian geometry
Summary:
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.
References:
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