TY - JOUR
T1 - On isomorphic classical diffeomorphism groups. I
AU - Banyaga, Augustin
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1986/9
Y1 - 1986/9
N2 - Let (Mi, αi), i = 1, 2, be two smooth manifolds equipped with symplectic, contact or volume forms αi. We show that if a group isomorphism between the automorphism groups of αi is induced by a bijective map between MMi, then this map must be a C∞ diffeomorphism which exchanges the structures αi. This generalizes a theorem of Takens.
AB - Let (Mi, αi), i = 1, 2, be two smooth manifolds equipped with symplectic, contact or volume forms αi. We show that if a group isomorphism between the automorphism groups of αi is induced by a bijective map between MMi, then this map must be a C∞ diffeomorphism which exchanges the structures αi. This generalizes a theorem of Takens.
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U2 - 10.1090/S0002-9939-1986-0848887-5
DO - 10.1090/S0002-9939-1986-0848887-5
M3 - Article
AN - SCOPUS:84968518095
VL - 98
SP - 113
EP - 118
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 1
ER -