Katrin FAESSLER

The setting: Heisenberg group
Definition
The Heisenberg group H 1 can be modeled on C × R such that the group
law reads
p ∗ p ′ = (z + z ′ , t + t ′ + 2 Im(zz ′ )),
for p = (z, t), p ′ = (z ′ , t ′ ) ∈ H 1 with z, z ′ ∈ C, t, t ′ ∈ R.
H 1 can be endowed with a left invariant metric
where pH = (|z| 4 + t 2 ) 1
4 .
dH(p, q) := q −1 ∗ pH, p, q ∈ H 1 ,
Katrin Fässler (University of Helsinki) A stretch map on H 1
HCAA 2012 3 / 23