ABSTRACT
9.1 Definition Let M be a smooth manifold and G be a Lie group. By an operation or an action of G on M on the left we mean an operation μ: G × M → M of G on M as Defined in Definition 13.12 in the appendix, where μ is smooth. An operation of G on M on the right is defined similarly as in Remark 13.13 in the appendix.
