abstract: "<jats:title>Abstract</jats:title>\n <jats:p>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.\n</jats:p>" author: Baudoin, Fabrice and Grong, Erlend and Rizzi, Luca and Vega-Molino, Sylvie author_list: - affiliation: [] family: Baudoin given: Fabrice - affiliation: [] family: Grong given: Erlend - affiliation: [] family: Rizzi given: Luca - affiliation: [] family: Vega-Molino given: Sylvie citations: - author: A Agrachev doi: 10.1017/9781108677325 unstructured: 'Agrachev, A., Barilari, D., Boscain, U.: A Comprehensive Introduction to Sub-Riemannian Geometry. 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Ltd., Hackensack (2014)' volume-title: Analysis for Diffusion Processes on Riemannian Manifolds year: '2014' doc_url: https://link.springer.com/content/pdf/10.1007/s00526-025-02992-w.pdf doi: 10.1007/s00526-025-02992-w files: - s00526-025-02992-w.pdf issue: '5' journal: Calculus of Variations and Partial Differential Equations language: en month: 6 papis_id: 1db3c19e86e0666ea6749dcb5a94dbb5 publisher: Springer Science and Business Media LLC ref: Comparison_theo_Baudoi_2025 time-added: 2026-08-19-22:32:30 title: Comparison theorems on H-type sub-Riemannian manifolds type: article url: https://doi.org/10.1007/s00526-025-02992-w volume: '64' year: 2025