A CONTACT CONDITION FOR COISOTROPIC SUBMA NIFOLDS OF A SYMPLECTIC MANIFOLD

Authors
BOLLE P
Citation
P. Bolle, A CONTACT CONDITION FOR COISOTROPIC SUBMA NIFOLDS OF A SYMPLECTIC MANIFOLD, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 322(1), 1996, pp. 83-86
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
322
Issue
1
Year of publication
1996
Pages
83 - 86
Database
ISI
SICI code
0764-4442(1996)322:1<83:ACCFCS>2.0.ZU;2-O
Abstract
We define a contact condition for any coisotropic compact submanifold of a manifold M with a symplectic structure omega. We prove that is M = R(2n) and omega = Sigma(i=1)(n) dx(i) boolean AND dy(i), a contact s ubmanifold S carries at least one periodic path x with positive action satisfying x is an element of Ker omega/S.