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.
Comparison theorems on H-type sub-Riemannian manifolds / Baudoin, F.; Grong, E.; Rizzi, L.; Vega-Molino, S.. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 64:5(2025). [10.1007/s00526-025-02992-w]
Comparison theorems on H-type sub-Riemannian manifolds
Grong E.;Rizzi L.
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2025-01-01
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.File in questo prodotto:
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