Sharp measure contraction property for generalized H-type Carnot groups

Davide Barilari, Luca Rizzi

We prove that H-type Carnot groups of rank $k$ and dimension $n$ satisfy the $\mathrm{MCP}(K,N)$ if and only if $K\le 0$ and $N\ge k+3(n-k)$. The latter integer coincides with t…