diffeomorphicadj.

Brit.

/ˌdɪfɪə(ʊ)ˈmɔːfɪk/, U.S.

/ˌdɪfioʊˈmɔrfɪk/

Origin: Formed within English, by blending. Etymons: differentiable adj., homoeomorphic adj.

Etymology: Blend of differentiable adj. and homoeomorphic adj., in later use after diffeomorphism n.

Mathematics.

Related to or produced by a diffeomorphism; designating a diffeomorphism.

ΚΠ

1953 W. Ambrose & I. M. Singer in Trans. Amer. Math. Soc. 75 428 We use the word ‘diffeo’ for a 1:1 differentiable mapping of one manifold onto another whose inverse is also differentiable and call the manifolds diffemorphic [sic].

1990 Proc. London Math. Soc. 61 549 N is homeomorphic to a sphere (in the case where n ≤ 6, diffeomorphic to a sphere).

2001 Philos. Sci. 68 368 The substantivalist must deny that Leibniz shifting the material contents of spacetime (i.e., implementing a diffeomorphic transformation) produces a distinct physical situation.

2005 A. Scorpan Wild World 4-Manifolds 5 Two smooth manifolds that are diffeomorphic are considered identical.

Derivatives

ˈdiffeomorphically adv. by means of a diffeomorphism.

ΚΠ

1953 W. Ambrose & I. M. Singer in Trans. Amer. Math. Soc. 75 440 It is trivial that ϕ ∘ L_g ∘ ϕ⁻¹ maps B(b) ∩ π⁻¹(0) diffeomorphically onto itself.

2013 G. Rudolph & M. Schmidt Differential Geom. & Math. Physics I. x. 542 Every energy level set corresponding to a negative value of h is diffeomorphically mapped..onto the unit sphere bundle over the 3-sphere with the north pole removed.

This is a new entry (OED Third Edition, June 2016; most recently modified version published online March 2022).

单词	diffeomorphic
释义	diffeomorphicadj. Brit. /ˌdɪfɪə(ʊ)ˈmɔːfɪk/, U.S. /ˌdɪfioʊˈmɔrfɪk/ Origin: Formed within English, by blending. Etymons: differentiable adj., homoeomorphic adj. Etymology: Blend of differentiable adj. and homoeomorphic adj., in later use after diffeomorphism n. Mathematics. Related to or produced by a diffeomorphism; designating a diffeomorphism. ΚΠ 1953 W. Ambrose & I. M. Singer in Trans. Amer. Math. Soc. 75 428 We use the word ‘diffeo’ for a 1:1 differentiable mapping of one manifold onto another whose inverse is also differentiable and call the manifolds diffemorphic [sic]. 1990 Proc. London Math. Soc. 61 549 N is homeomorphic to a sphere (in the case where n ≤ 6, diffeomorphic to a sphere). 2001 Philos. Sci. 68 368 The substantivalist must deny that Leibniz shifting the material contents of spacetime (i.e., implementing a diffeomorphic transformation) produces a distinct physical situation. 2005 A. Scorpan Wild World 4-Manifolds 5 Two smooth manifolds that are diffeomorphic are considered identical. Derivatives ˈdiffeomorphically adv. by means of a diffeomorphism. ΚΠ 1953 W. Ambrose & I. M. Singer in Trans. Amer. Math. Soc. 75 440 It is trivial that ϕ ∘ L_g ∘ ϕ⁻¹ maps B(b) ∩ π⁻¹(0) diffeomorphically onto itself. 2013 G. Rudolph & M. Schmidt Differential Geom. & Math. Physics I. x. 542 Every energy level set corresponding to a negative value of h is diffeomorphically mapped..onto the unit sphere bundle over the 3-sphere with the north pole removed. This is a new entry (OED Third Edition, June 2016; most recently modified version published online March 2022). < adj.1953
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