AI 中文总结
研究单连通辛流形，通过证明其与\(R^{2n}\)辛同胚，肯定回答了麦克杜夫 - 萨拉蒙的“辛哈达玛问题”。
AI 中文摘要
我们证明，一个允许完备非正曲率相容度量的单连通辛流形与具有标准辛形式的\(R^{2n}\)是辛同胚的。这肯定地回答了麦克杜夫 - 萨拉蒙的“辛哈达玛问题”。
英文摘要
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.
Commentssome Math/AI aspects around this work are discussed in section 1.1
