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The symplectic Hadamard question
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We show that a simply connected symplectic manifold admitting a complete nonpositively curved compatible metric is symplectomorphic to R^{2n} with its standard symplectic form.
This answers the "symplectic Hadamard question" of McDuff-Salamon in the affirmative.
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