Darboux-Weinstein theorem for locally conformally symplectic manifolds

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• 作者：Alexandra Otiman^a ; ^b ; ^{alexandra_otiman@yahoo.com} ; Miron Stanciu^a ; ^{mirostnc@gmail.com}
• 关键词：53D05 ; 53D12
• 刊名：Journal of Geometry and Physics
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：111
• 期：Complete
• 页码：1-5
• 全文大小：443 K
• 卷排序：111

文摘

A locally conformally symplectic (LCS) form is an almost symplectic form ωω such that a closed one-form θθ exists with dω=θ∧ωdω=θ∧ω. We present a version of the well-known result of Darboux and Weinstein in the LCS setting and give an application concerning Lagrangian submanifolds.