The Weinstein conjecture in the uniruled manifolds

TL;DR

This paper proves the Weinstein conjecture for a class of symplectic manifolds, including uniruled manifolds, by leveraging Liu-Tian's results, advancing understanding in symplectic topology.

Contribution

It extends the validity of the Weinstein conjecture to uniruled symplectic manifolds using existing Liu-Tian results.

Findings

Weinstein conjecture holds for uniruled manifolds.

Extension of conjecture verified in broader class of symplectic manifolds.

Utilizes Liu-Tian's results to establish the proof.

Abstract

In this note we prove the Weinstein conjecture for a class of symplectic manifolds including the uniruled manifolds based on Liu-Tian's result.