Documentation
This page documents the manifold functionalities implemented in SageMath. If you are new to SageMath, you may first take a look at the first contact tutorial.- Tutorial [pdf] [ipynb] [Japanese version]
- Tutorial videos: Manifolds in SageMath
- Plot tutorial [ipynb]
- Tutorial on pseudo-Riemannian manifolds (metric, Levi-Civita connection, curvature, geodesics) [video]
- Introduction to differentiable manifolds in SageMath by Andrzej Chrzeszczyk
- Reference manual [pdf]
- Reference manual of the pure algebraic part [pdf]
- Vector calculus with SageMath
- Example notebooks
- Gallery
- Lectures Symbolic tensor calculus on manifolds (CIRM, Jan. 2018) (details about the implementation) [video 1] [video 2]
- Tensors on free modules of finite rank
- Inheritance diagrams of some SageManifolds classes
- Slides and videos presenting SageManifolds at various conferences/schools:
- Albert Einstein Institute (Potsdam, Germany, Dec. 2023)
- Differential Geometry and Mechanics (Saclay, France, Nov. 2022)
- NEB-19 Conference (Athens, Greece, Sept. 2021) [video]
- Yukawa Institute for Theoretical Physics (Kyoto, Japan, Dec. 2020)
- Holographic QCD (Paris, France, Nov. 2019)
- GR22 Conference (Valencia, Spain, July 2019)
- French Computer Algebra Days (Marseille, France, Jan. 2018) [video 1] [video 2]
- Geometry and Computer Science (Pescara, Italy, Feb. 2017)
- NewCompStar School (Coimbra, Portugal, Sep. 2016)
- GR21 Conference (New York, USA, July 2016)
- Lab. Math. Bretagne Atlantique (Brest, France, April 2015)
- Sage Days 64 (Davis, USA, March 2015)
- Spanish Relativity Meeting (Valencia, Spain, Sep. 2014) [video]
- Publications
- Authors/contributors
- Changelog