Some properties of locally conformal symplectic structures

Augustin Banyaga

doi:10.1007/s00014-002-8345-z

Some properties of locally conformal symplectic structures

Augustin Banyaga

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

41 Scopus citations

Abstract

We show that the d_ω-cohomology is isomorphic to a conformally invariant usual de Rham cohomology of an appropriate cover. We also prove a Moser theorem for locally conformal symplectic (lcs) forms. We point out a connection between lcs geometry and contact geometry. Finally, we show the connections between first kind, second kind, essential, inessential, local, and global conformal symplectic structures through several invariants.

Original language	English (US)
Pages (from-to)	383-398
Number of pages	16
Journal	Commentarii Mathematici Helvetici
Volume	77
Issue number	2
DOIs	https://doi.org/10.1007/s00014-002-8345-z
State	Published - 2002

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00014-002-8345-z

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AB - We show that the dω-cohomology is isomorphic to a conformally invariant usual de Rham cohomology of an appropriate cover. We also prove a Moser theorem for locally conformal symplectic (lcs) forms. We point out a connection between lcs geometry and contact geometry. Finally, we show the connections between first kind, second kind, essential, inessential, local, and global conformal symplectic structures through several invariants.

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JO - Commentarii Mathematici Helvetici

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Some properties of locally conformal symplectic structures

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