Calculus of Variations and Geometric Measure Theory
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F. Baudoin - E. Grong - G. Molino - L. Rizzi

Comparison theorems on H-type sub-Riemannian manifolds

created by rizzi1 on 10 Sep 2019



Inserted: 10 sep 2019

Year: 2019

ArXiv: 1909.03532 PDF


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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