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arXiv · 1504.07111

The Weinstein Conjecture in Product of Symplectic Manifolds

Yanqiao Ding·Jianxun Hu
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Abstract

In this paper, using pseudo-holomorphic curve method, one proves the Weinstein conjecture in the product $P_1\times P_2$ of two strongly geometrically bounded symplectic manifolds under some conditions with $P_1$. In particular, if $N$ is a closed manifold or a noncompact manifold of finite topological type, our result implies that the Weinstein conjecture in $\mathbb{C}\mathbb{P}^2\times T^*N$ holds.

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Yanqiao Ding, Jianxun Hu. 2015-04-27. The Weinstein Conjecture in Product of Symplectic Manifolds. https://arxiv.org/abs/1504.07111

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