  Let $\M$ be a smooth connected manifold endowed with a smooth measure $\mu$
and a smooth locally subelliptic diffusion operator $L$ which is symmetric with
respect to $\mu$. We assume that $L$ satisfies a generalized curvature
dimension inequality as introduced by Baudoin-Garofalo \cite{BG1}. Our goal is
to discuss functional inequalities for $\mu$ like the Poincar\'e inequality,
the log-Sobolev inequality or the Gaussian logarithmic isoperimetric
inequality.
