2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76457Every Heisenberg manifold has a natural "sub-Riemannian" metric with interesting properties. We describe the corresponding noncommutative metric structure for Rieffel's quantum Heisenberg manifolds.18 pages, TeXOperator AlgebrasSub-Riemannian metrics for quantum Heisenberg manifoldstext