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Symplectic embeddings from R2n into some manifolds

Published online by Cambridge University Press:  11 July 2007

M.-Y. Jiang
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, People's Republic of China

Abstract

We show by elementary methods that there are symplectic embeddings from standard (R2n, ω0) into (Σ x R2n−2, ω ⊕ ω0) and (T2n−2k x R2k, ω ⊕ ω0), where (Σ, ω) is a closed two-dimensional symplectic manifold, and (T2n−2k, ω) is the torus with a constant symplectic form ω. Some estimates of Gromov's symplectic capacity are given for bounded domains in these manifolds.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2000

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