TY - JOUR
T1 - Some properties of locally conformal symplectic structures
AU - Banyaga, Augustin
N1 - Copyright:
Copyright 2005 Elsevier B.V., All rights reserved.
PY - 2002
Y1 - 2002
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0036444367&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036444367&partnerID=8YFLogxK
U2 - 10.1007/s00014-002-8345-z
DO - 10.1007/s00014-002-8345-z
M3 - Article
AN - SCOPUS:0036444367
VL - 77
SP - 383
EP - 398
JO - Commentarii Mathematici Helvetici
JF - Commentarii Mathematici Helvetici
SN - 0010-2571
IS - 2
ER -