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The classification of simply-connected contact sub-riemannian symmetric spaces

The classification of simply-connected contact sub-riemannian symmetric spaces

Sub-Riemannian geometry is the geometry of non-integrable k-plane distributions D on n-manifolds M , 1 < k < n, where D is equipped with a positive definite metric g.We classify the simply-connected contact sub-Riemannian symmetric spaces (these belong to a class of sub-Riemannian manifolds (M, D, g) with special symmetry …