In this ticket, we establish the action of a bundle connection. We implement the component-wise formula based on the connection form.

See Wikipedia for details.

Depends on #30208
Depends on #30228

CC: @egourgoulhon @tscrim

Component: manifolds

Author: Michael Jung

Branch/Commit: 7ae2df9

Reviewer: Travis Scrimshaw

Issue created by migration from https://trac.sagemath.org/ticket/30209