Normal CR structures on compact 3-manifolds
Differential Geometry
2007-05-23 v1
Abstract
We study normal CR compact manifolds in dimension 3. For a choice of a CR Reeb vector field, we associate a Sasakian metric on them, and we classify those metrics. As a consequence, the underlying manifolds are topologically finite quotiens of the 3-sphere or of a circle bundle over a Riemann surface of positive genus. In the latter case, we prove that their CR automorphisms group is a finite extension of U(1), and we classify the normal CR structures on these manifolds.
Keywords
Cite
@article{arxiv.math/0002224,
title = {Normal CR structures on compact 3-manifolds},
author = {F. A. Belgun},
journal= {arXiv preprint arXiv:math/0002224},
year = {2007}
}
Comments
16 pages