English

On left invariant CR structures on SU(2)

Differential Geometry 2011-11-09 v1 Complex Variables

Abstract

There is a well known one--parameter family of left invariant CR structures on SU(2)S3SU(2)\cong S^3. We show how purely algebraic methods can be used to explicitly compute the canonical Cartan connections associated to these structures and their curvatures. We also obtain explicit descriptions of tractor bundles and tractor connections.

Keywords

Cite

@article{arxiv.math/0603730,
  title  = {On left invariant CR structures on SU(2)},
  author = {Andreas Cap},
  journal= {arXiv preprint arXiv:math/0603730},
  year   = {2011}
}

Comments

10 pages