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A canonical connection on sub-Riemannian contact manifolds. (English) Zbl 1413.53078
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.
MSC:
53C17 Sub-Riemannian geometry
53D10 Contact manifolds (general theory)
70G45 Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics
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