DifferentiableManifold.open_subset: update vector frames and change of frames

[mkoeppe]

... as indicated by a comment in the file.

Depends on #31674

CC: @mjungmath @egourgoulhon @tscrim

Component: manifolds

Issue created by migration from https://trac.sagemath.org/ticket/31678

[mkoeppe]

Dependencies: #31674