Every sub-Riemannian manifold is the Gromov–Hausdorff limit of a sequence Riemannian manifolds
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In this paper, we will show that every sub-Riemannian manifold is the Gromov–Hausdorff limit of a sequence of Riemannian manifolds.
KeywordsRiemannian manifold Sub-Riemannian manifold Gromov–Hausdorff convergence
MR(2010) Subject Classification53C17 53C23
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I wish to thank my supervisor of postgraduate Professor Fuquan Fang for introducing me in the study of the sub-Riemannian geometry.
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