Sage Manifolds


SageManifolds is an extension fully integrated into SageMath, to be used as a package for differential geometry and tensor calculus. The official page for the project is . It can be used on CoCalc.
SageManifolds deals with differentiable manifolds of arbitrary dimension. The basic objects are tensor fields and not tensor components in a given vector frame or coordinate chart. In other words, various charts and frames can be introduced on the manifold and a given tensor field can have representations in each of them.
An important class of treated manifolds is that of pseudo-Riemannian manifolds, among which Riemannian manifolds and Lorentzian manifolds, with applications to General Relativity. In particular, SageManifolds implements the computation of the Riemann curvature tensor and associated objects. SageManifolds can also deal with generic affine connections, not necessarily Levi-Civita ones.

Functionalities

More documentation is on .

Free & Open Software

As SageMath is, SageManifolds is a free and open source software based on the Python programming language. It is released under the GNU General Public License. To download and install SageManifolds, see . It is more specifically

Development

Much of the source is on tickets at .
There are Github repositories at .
Other links are provided at .