Comparison theorems on H-type sub-Riemannian manifolds
arXiv:1909.03532 · doi:10.1007/s00526-025-02992-w
Abstract
On H-type sub-Riemannian manifolds we establish sub-Hessian and sub-Laplacian comparison theorems which are uniform for a family of approximating Riemannian metrics converging to the sub-Riemannian one. We also prove a sharp sub-Riemannian Bonnet-Myers theorem that extends to this general setting results previously proved on contact and quaternionic contact manifolds.
Final version, to appear on Calc. Var. Partial Differential Equations
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