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Pré-Publication, Document De Travail Année : 2019

Comparison theorems on H-type sub-Riemannian manifolds

Résumé

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.

Dates et versions

hal-02282474 , version 1 (10-09-2019)

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Fabrice Baudoin, Erlend Grong, Gianmarco Molino, Luca Rizzi. Comparison theorems on H-type sub-Riemannian manifolds. 2019. ⟨hal-02282474⟩
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