Atlas 2 - modern differential geometry
The Atlas 2 for Mathematica package is powerful Mathematica toolbox which allows you to do a wide range of modern differential geometry calculations: from formulating and solving 2D/3D problems to working with an N-dimensional manifold as a whole.
Atlas package code generation
advanced GUI application for Atlas package
visualization in Atlas package
Use these operators to declare various differential geometry entities.
Manifold and domain declaration
Declaration of a mapping between manifolds or domains
Metric tensor declaration
Use these operators for automatic calculation of various differential geometry objects.
Calculation of projectors of a mapping
Calculation of invariants of a mapping
Calculation of connection 1-forms
Calculation of curvature 2-forms
Calculation of torsion 2-forms
Riemann tensor calculation
Ricci tensor calculation
Ricci scalar calculation
Differential geometry operators
Use these operators for standard differential geometry calculations.
Exterior derivative operator
Interior product operator
Exterior product operator
Tensor product operator
Hodge-de Rham Laplacian
Pullback of a [0,k] tensor field under a mapping
Pushforward (differential of a mapping)
Use these operators to control and manage your differential geometry entities.
Lists of all declarations made and shows "who is who"
Nat vector operator
Kronecker's delta symbol