diffgeo-by-sagemnfd

Differential Geometry by Sage Manifolds - implementations of Sage Manifolds package for Sage Math

-ernestyalumni

20150809

version0.8examples subdirectory has the examples from the sagemanifolds webpage http://sagemanifolds.obspm.fr/examples.html
by verbatim.

Rd.sage

Euclidean $\mathbb{R}^d$ Manifold in d-dimensions

R3 = Rd(3)
R3.equip_metric()

Make a time-dependent scalar field $p = p(x,y,z,t)\in \mathcal{C}^{\infty}(M)$ and a time-dependent vector field $u = u(x,y,z,t) = u^i(x,y,z,t)\frac{\partial}{\partial x^i} \in \mathfrak{X}(M)$

p   = make_pt(R3.M)
u3t = make_ut(R3.M)