The integration of the exponential of the extended Lee homomorphism yields a homomorphism ℒ on the group of automorphisms of a locally conformal symplectic structure S, whose value on an automorphism is the similitude ratio of some lifting on a symplectic manifold canonically associated with S. On the kernel of ℒ, we construct the Calabi invariant in terms of the cA-cohomology.
|Translated title of the contribution||Some invariants of locally conformally symplectic structures|
|Number of pages||4|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Jan 1 2001|
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