Comparison theorems in pseudo-Hermitian geometry and applications
Differential Geometry
2016-11-03 v1 Complex Variables
Abstract
In this paper, we study the theory of geodesics with respect to the Tanaka-Webster connection in a pseudo-Hermitian manifold, aiming to generalize some comparison results in Riemannian geometry to the case of pseudo-Hermitian geometry. Some Hopf-Rinow type, Cartan-Hadamard type and Bonnet-Myers type results are established.
Cite
@article{arxiv.1611.00539,
title = {Comparison theorems in pseudo-Hermitian geometry and applications},
author = {Yuxin Dong and Wei Zhang},
journal= {arXiv preprint arXiv:1611.00539},
year = {2016}
}
Comments
23 pages, any comments are welcome