diffeomorphic

Adjective

Meaning

diffeomorphic (not comparable)

(mathematics) Having a diffeomorphism.

Examples

Freedman's work left open the possibility that there is a smooth four-manifold homeomorphic to the four-sphere which is not diffeomorphic to the four-sphere. Source: Internet

Hamilton used the Ricci flow to prove that some compact manifolds were diffeomorphic to spheres and he hoped to apply it to prove the Poincaré Conjecture. Source: Internet

Curved spaces main A smooth manifold is a Hausdorff topological space that is locally diffeomorphic to Euclidean space. Source: Internet

In dimensions 1, 2, 3, any pair of homeomorphic smooth manifolds are diffeomorphic. Source: Internet

More mathematically, for example, the problem of constructing a diffeomorphism between two manifolds of the same dimension is inherently global since locally two such manifolds are always diffeomorphic. Source: Internet

The space of unoriented lines in the plane is diffeomorphic to the open Möbius band. Source: Internet

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