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On H-type sub-Riemannian manifolds we establish sub-Hessian and sub-Laplaciancomparison theorems which are uniform for a family of approximating Riemannianmetrics converging to the sub-Riemannian one. We also prove a sharpsub-Riemannian Bonnet-Myers theorem that extends to this general settingresults previously proved on contact and quaternionic contact manifolds.

Comparison theorems on H-type sub-Riemannian manifolds