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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
    • Subsets of Topological Manifolds
    • Manifold Structures
    • Points of Topological Manifolds
    • Coordinate Charts
      • Coordinate Charts
      • Coordinate Functions
      • Symbolic Coordinate Functions
    • Scalar Fields
      • Algebra of Scalar Fields
      • Scalar Fields
    • Continuous Maps
      • Sets of Morphisms between Topological Manifolds
      • Continuous Maps Between Topological Manifolds
  • Differentiable Manifolds
    • Differentiable Manifolds
    • Coordinate Charts on Differentiable Manifolds
    • Scalar Fields
      • Algebra of Differentiable Scalar Fields
      • Differentiable Scalar Fields
    • Differentiable Maps
      • Sets of Morphisms between Differentiable Manifolds
      • Differentiable Maps between Differentiable Manifolds
  • Utilities for Calculus

Indices and Tables¶

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  • Module Index
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