Comparison theorems on H-type sub-Riemannian manifolds
Differential Geometry
2025-05-06 v2
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.
Cite
@article{arxiv.1909.03532,
title = {Comparison theorems on H-type sub-Riemannian manifolds},
author = {Fabrice Baudoin and Erlend Grong and Luca Rizzi and Sylvie Vega-Molino},
journal= {arXiv preprint arXiv:1909.03532},
year = {2025}
}
Comments
Final version, to appear on Calc. Var. Partial Differential Equations