Title: Finiteness of Hofer-Zehnder symplectic capacity of neighborhoods of symplectic submanifolds
Abstract: We use the minimal coupling procedure of Sternberg and Weinstein and our pseudo-symplectic capacity theory to prove that every closed symplectic submanifold in any symplectic manifold has an open neighborhood with finite ($\pi_1$-sensitive) Hofer-Zehnder symplectic capacity. Consequently, the Weinstein conjecture holds near closed symplectic submanifolds in any symplectic manifold.
Publication Year: 2005
Publication Date: 2005-10-09
Language: en
Type: article
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Cited By Count: 4
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