Uniform doubling for abelian products with $\mathrm{SU}(2)$

Nathaniel Eldredge, Maria Gordina, Laurent Saloff-Coste

We prove that the uniform doubling property holds for every Lie group which can be written as a quotient group of $\mathrm{SU}(2)\times {\mathbb{R}}^n$ for some $n$. In partic…