English

Sub-Riemannian balls in CR Sasakian manifolds

Differential Geometry 2011-10-07 v1 Metric Geometry

Abstract

We prove global estimates for the sub-Riemannian distance of CR Sasakian manifolds with non negative horizontal Webster-Tanaka Ricci curvature. In particular, in this setting, large sub-Riemannian balls are comparable to Riemannian balls.

Keywords

Cite

@article{arxiv.1110.1109,
  title  = {Sub-Riemannian balls in CR Sasakian manifolds},
  author = {Fabrice Baudoin and Michel Bonnefont},
  journal= {arXiv preprint arXiv:1110.1109},
  year   = {2011}
}