Differential geometry of $\mathfrak{g}$-manifolds

Dimitri Alekseevsky, Peter W. Michor

An action of a Lie algebra $\mathfrak{g}$ on a manifold $M$ is just a Lie algebra homomorphism $\zeta :\mathfrak{g}\to \mathfrak{X}(M)$. We define orbits for such an action. In general the space of or…