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arXiv · 1909.03532

Comparison theorems on H-type sub-Riemannian manifolds

Fabrice Baudoin·Erlend Grong·Luca Rizzi·Sylvie Vega-Molino
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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.

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Fabrice Baudoin, Erlend Grong, Luca Rizzi, Sylvie Vega-Molino. 2019-09-08. Comparison theorems on H-type sub-Riemannian manifolds. https://doi.org/10.1007/s00526-025-02992-w

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