The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation

Autor:	Niederkrüger, Klaus, Rechtman, Ana
Rok vydání:	2011
Předmět:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry 34J45 53D10 53D35
Zdroj:	J. Topol. Anal. 3 (2011), no. 4, 405-421
Druh dokumentu:	Working Paper
DOI:	10.1142/S1793525311000684
Popis:	Helmut Hofer introduced in '93 a novel technique based on holomorphic curves to prove the Weinstein conjecture. Among the cases where these methods apply are all contact 3--manifolds $(M,\xi)$ with $\pi_2(M) \ne 0$. We modify Hofer's argument to prove the Weinstein conjecture for some examples of higher dimensional contact manifolds. In particular, we are able to show that the connected sum with a real projective space always has a closed contractible Reeb orbit. Comment: 11 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1104.0250 Zobrazit plný text záznamu View this record from Arxiv