weinstein The Weinstein conjecture in the presence of submanifolds having a Legendrian foliation Klaus Niederkrüger Ana Rechtman http://dx.doi.org/10.1142/S1793525311000684 J. Topol. Anal. 3 (2011), no. 4, 405-421. 2011 jta.gif 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,ξ) with π₂(M) ≠ 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.