Isomorphisms between groups of diffeomorphisms

Rybicki, Tomasz

doi:10.1090/S0002-9939-1995-1233982-7

Isomorphisms between groups of diffeomorphisms
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Proc. Amer. Math. Soc. 123 (1995), 303-310 Request permission

Abstract:

It is known that the group of all diffeomorphisms of a manifold determines uniquely the topological and smooth structure of the manifold itself. We specify a possibly large class of diffeomorphism groups which satisfy this property. In particular, so does the group of contact diffeomorphisms.

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