The symbolic method used for manifolds and differentiable manifolds is "symbolic", the default in SageMath.
In this ticket we introduce the use of SymPy as an option when the Chart in the manifold is created.

At this point there is a dependence on Sympy ticket:
"sympy to sage conversion : Abstract function."
sympy/sympy#12826

Depends on #22802
Depends on #24006
Depends on #20204
Depends on #24232

CC: @egourgoulhon

Component: geometry

Author: Marco Mancini

Branch/Commit: 87877f0

Reviewer: Eric Gourgoulhon, Ralf Stephan, Richard Lozes

Issue created by migration from https://trac.sagemath.org/ticket/22801