diffeomorphism Definition
- 1a bijective function between differentiable manifolds whose inverse is also differentiable
- 2a smooth one-to-one mapping of one space onto another that preserves the differential structure
Using diffeomorphism: Examples
Take a moment to familiarize yourself with how "diffeomorphism" can be used in various situations through the following examples!
Example
The diffeomorphism between two manifolds is a bijective and differentiable map.
Example
A diffeomorphism is a type of isomorphism between differentiable manifolds.
Origins of diffeomorphism
from Greek 'diapherein', meaning 'to carry over'
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Summary: diffeomorphism in Brief
A 'diffeomorphism' [ˌdɪf.i.əʊˈmɔː.fɪ.zəm] is a bijective and differentiable function between differentiable manifolds, with an inverse that is also differentiable. It is a type of isomorphism that preserves the differential structure of the space. Examples include the diffeomorphism between two manifolds.
