On isomorphic classical diffeomorphism groups. I
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- by Augustin Banyaga PDF
- Proc. Amer. Math. Soc. 98 (1986), 113-118 Request permission
Abstract:
Let $({M_i},{\alpha _i})$, $i = 1,2$, be two smooth manifolds equipped with symplectic, contact or volume forms ${\alpha _i}$. We show that if a group isomorphism between the automorphism groups of ${\alpha _i}$ is induced by a bijective map between ${M_i}$, then this map must be a ${C^\infty }$ diffeomorphism which exchanges the structures ${\alpha _i}$. This generalizes a theorem of Takens.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 113-118
- MSC: Primary 58D05; Secondary 22E65, 57R50
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848887-5
- MathSciNet review: 848887