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- W2044988635 abstract "In 1968 Bourgin proved that every measure-preserving, orientation-preserving homeomorphism of the open disk has a fixed point, and he asked whether such a result held in higher dimensions. Asimov, in 1976, constructed counterexamples in all higher dimensions. In this paper we answer a weakened form of Bourginâs question dealing with symplectic diffeomorphisms: every symplectic diffeomorphism of an even-dimensional cell sufficiently close to the identity in the ${C^1}$-fine topology has a fixed point. This result follows from a more general result on open manifolds and symplectic diffeomorphisms." @default.
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- W2044988635 date "1982-04-01" @default.
- W2044988635 modified "2023-09-27" @default.
- W2044988635 title "A symplectic fixed point theorem on open manifolds" @default.
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- W2044988635 doi "https://doi.org/10.1090/s0002-9939-1982-0643757-6" @default.
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