Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

F. Baudoin - E. Grong - G. Molino - L. Rizzi

Comparison theorems on H-type sub-Riemannian manifolds

created by rizzi1 on 10 Sep 2019

[BibTeX]

preprint

Inserted: 10 sep 2019

Year: 2019

ArXiv: 1909.03532 PDF

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.

Credits | Cookie policy | HTML 5 | CSS 2.1