Differential geometry MOC

Diffeomorphism

A 𝐶𝛼-diffeomorphism is an isomorphism of differentiable manifolds, i.e. in 𝖬𝖺𝗇𝛼.

Further terminology

• Given a manifold 𝑀, we call Aut𝛼⁡(𝑀) :=Aut𝖬𝖺𝗇𝛼⁡(𝑀) its group of diffeomorphisms.

See also

• Differential pullback along a diffeomorphism
• Flow on a manifold

#state/develop | #lang/en | #SemBr