Manifolds

This is the Sage implementation of manifolds resulting from the SageManifolds project. This section describes only the “manifold” part of SageManifolds; the pure algebraic part is described in the section Tensors on free modules of finite rank.

More documentation (in particular example worksheets) can be found here.

• Topological manifolds
  • Topological manifolds
  • Points of topological manifolds
  • Subsets of topological manifolds
  • Coordinate charts
    • Coordinate charts
    • Coordinate functions
    • Symbolic coordinate functions
  • Scalar fields
    • Scalar field algebra
    • Scalar fields
  • Continuous maps
    • Sets of morphisms between topologial manifolds
    • Continuous maps between topological manifolds
• Differentiable manifolds
  • Differentiable manifolds
  • Coordinate charts on differentiable manifolds
  • The real line and open intervals
  • Scalar fields
    • Algebra of differentiable scalar fields
    • Differentiable scalar fields
  • Differentiable maps and curves
    • Sets of morphisms between differentiable manifolds
    • Differentiable maps between differentiable manifolds
    • Curves in manifolds
  • Tangent spaces
    • Tangent spaces
    • Tangent vectors
  • Vector fields
    • Vector field modules
    • Vector fields
    • Vector frames
    • Group of tangent-space automorphism fields
    • Tangent-space automorphism fields
  • Tensor fields
    • Tensor field modules
    • Tensor fields
    • Tensor fields with values on a parallelizable manifold
  • Differential forms
    • Differential form modules
    • Differential forms
• Utilities for calculus

Indices and Tables

• Index
• Module Index
• Search Page