diffeomorphism
Sign in to saveIn mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are continuously differentiable.
Article
17 sectionsContents
- Definition
- Diffeomorphisms of subsets of manifolds
- Local description
- Examples
- Surface deformations
- Diffeomorphism group
- Topology
- Lie algebra
- Examples
- Transitivity
- Extensions of diffeomorphisms
- Connectedness
- Homotopy types
- Homeomorphism and diffeomorphism
- See also
- Notes
- References
In mathematics, a diffeomorphism is an isomorphism of differentiable manifolds. It is an invertible function that maps one differentiable manifold to another such that both the function and its inverse are continuously differentiable.
right|thumb|The Image (mathematics)|image of a rectangular grid on a square under a diffeomorphism from the square onto itself.