For the benefit of the discussion, here is the list of dictionaries involved in the manifold tickets colllected at #18528 <http://trac.sagemath.org/ticket/18528>. Each dictionary is presented in the form
- values | key: the key - chart restrictions | key: open subset (i.e. manifold) - transition maps | key: pair of charts - point coordinates | key: chart - intersections of a given subset with other subsets | key: string (subset name) - unions of a given subset with other subsets | key: string (subset name) - coordinate expressions of a map | key: pair of charts - map restrictions | key: open subset (i.e. manifold) - coordinate expressions of a scalar field | key: chart - scalar field restrictions | key: open subset (i.e. manifold) For differentiable manifolds, we have in addition - changes of vector frames | key: pair of vector frames - modules of vector fields along the manifold | key: differentiable map - coordinate expressions of the differential of a diff. map | key: pair of charts - cache of the Lie derivatives of a scalar field | key: id(vector field) - bases of a tangent space induced by vector frames | key: vector frame - tensor field restrictions | key: open subset (i.e. manifold) - components of a tensor field on a parallelizable manifold | key: vector frame - cache of the Lie derivatives of tensor fields | key: id(tensor field) - vector frame restrictions | key: open subset (i.e. manifold) - affine connection coefficients | key: vector frame - affine connection restrictions | key: open subset (i.e. manifold) - affine connection 1-forms | key: vector frame - affine connection torsion 2-forms | key: vector frame - affine connection curvature 2-forms | key: vector frame - determinants of a pseudo-Riemannian metric | key: vector frame - square roots of the absolute values of the determinants of a pseudo-Riemannian metric | key: vector frame So we see that the objects used as keys are charts, vector frames and manifolds. -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
