On left invariant CR structures on SU(2)

Details On left invariant CR structures on SU(2) On left invariant CR structures on SU(2)

2006-03-31

arxiv.org/abs/math/0603730v1

Arch. Math. (Brno) 42 (2006) Supplement 185-195

Mathematics

Differential Geometry

10 pages

Scientific paper

There is a well known one--parameter family of left invariant CR structures
on $SU(2)\cong S^3$. 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.

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