Equivalence and slice theory for symplectic forms on closed manifolds
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- by R. C. Swanson and C. C. Chicone PDF
- Proc. Amer. Math. Soc. 73 (1979), 265-270 Request permission
Abstract:
In this paper, a study is made of the pullback action of the diffeomorphism group on the totality of symplectic forms on a compact manifold. For this action, the orbit is shown to be a smooth (Banach) manifold consisting of a denumerable union of submanifolds, each lying in a fixed cohomology class. In addition, a precise characterization is given of those symplectic manifolds for which there is a local factorization of the pullback action in the sense of a transverse “slice” of closed 2-forms, invariant under the group of symplectic diffeomorphisms.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 265-270
- MSC: Primary 58D05; Secondary 58A10, 58D17
- DOI: https://doi.org/10.1090/S0002-9939-1979-0516476-4
- MathSciNet review: 516476