Corpus ID: 202540289

Comparison theorems on H-type sub-Riemannian manifolds

@article{Baudoin2019ComparisonTO,
  title={Comparison theorems on H-type sub-Riemannian manifolds},
  author={Fabrice Baudoin and E. Grong and G. Molino and L. Rizzi},
  journal={arXiv: Differential Geometry},
  year={2019}
}
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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References

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