2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217718In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where quantum isometry group of a noncommutative manifold has been defined, we explicitly compute such quantum groups for a number of classical as well as noncommutative manifolds including the spheres and the tori. It is also proved that the quantum isometry group of an isospectral deformation of a (classical or noncommutative) manifold is a suitable deformation of the quantum isometry group of the original (undeformed) manifold.minor corrections and notational changes made; results of section 3 strengthened by relaxing the assumption of nuclearityQuantum AlgebraMathematical Physicstext