Example notebooks

The notebooks are in the Jupyter format (ipynb). They can be read directly in the browser by just clicking on their titles. The notebooks are opened in read-only mode, but you can access to an interactive version by clicking on Execute on Binder in the top right menu.

To download a notebook and run it on your computer, click on [ipynb] (or on the download button in the notebook top right menu) and type

sage -n jupyter example_file.ipynb

See also the manifold tutorial for a basic introduction (Japanese version is here) and the plot tutorial for plots of coordinate charts, manifold points, vector fields and curves.

2-dimensional manifolds

3-dimensional manifolds

Tensor algebra

Maximally symmetric spacetimes

Black hole spacetimes

Other examples regarding black hole spacetimes are posted here.

Examples regarding black branes in 5-dimensional spacetimes: black branes in Lifshitz-like spacetimes and Vaidya-Lifshitz solution

Cosmological spacetimes

Other examples in General Relativity

Examples in solid state physics and electromagnetism

Analysis on manifolds

Submanifolds

Vector bundles


See also the manifold tutorial for a basic introduction (Japanese version is here) and the plot tutorial for plots of coordinate charts, manifold points, vector fields and curves.