Diffeomorphism Flow on a manifold Let be a -manifold with group of diffeomorphisms . A (local) 1-parameter group is called a (local) flow on . diff The orbit of a point defines a -curve with . The map defines a -vector field , called the infinitesimal generator of . Conversely, given a vector field , one can (usually) find a corresponding local flow whose orbits are called integral curves. develop | en | sembr