Quelques invariants des structures localement conformément symplectiques

Augustin Banyaga

doi:10.1016/S0764-4442(00)01767-5

Quelques invariants des structures localement conformément symplectiques

Translated title of the contribution: Some invariants of locally conformally symplectic structures

Augustin Banyaga

Research output: Contribution to journal › Article › peer-review

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Abstract

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
Original language	French
Pages (from-to)	29-32
Number of pages	4
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	332
Issue number	1
DOIs	https://doi.org/10.1016/S0764-4442(00)01767-5
State	Published - Jan 1 2001

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/S0764-4442(00)01767-5

Cite this

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abstract = "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.",

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AB - 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.

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ER -

Quelques invariants des structures localement conformément symplectiques

Abstract

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