| 辛轨形群胚的辛邻域定理 |
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| 引用本文： | 杜承勇,陈柏辉,王蕊. 辛轨形群胚的辛邻域定理[J]. 数学学报, 2018, 61(2): 217-232 |
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| 作者姓名： | 杜承勇 陈柏辉 王蕊 |
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| 作者单位： | 1. 四川师范大学数学与软件科学学院 成都 610068;2. 四川大学数学学院长江数学中心 成都 610064;3. Department of Mathematics, University of California, Irvine, CA, 92697-3875, USA |
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| 基金项目： | 国家自然科学基金资助项目（11501393，11431001）；四川省教育厅资助科研项目（15ZB0027）；IBS project#IBS-R003-D |
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| 摘 要： | 本文给出一种几何的子轨形群胚的定义,还给出了判定子轨形群胚的依据,并证明了紧子轨形群胚的轨形管状邻域、紧辛子轨形群胚的辛邻域和紧Lagrangian子轨形群胚的Lagrangian邻域的存在性.
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| 关 键 词： | 子轨形群胚 轨形管状邻域 辛子轨形群胚 辛邻域 Lagrangian邻域 |
Symplectic Neighborhood Theorem for Symplectic Orbifold Groupoids |
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| Cheng Yong DU,Bo Hui CHEN,Rui WANG. Symplectic Neighborhood Theorem for Symplectic Orbifold Groupoids[J]. Acta Mathematica Sinica, 2018, 61(2): 217-232 |
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| Authors: | Cheng Yong DU Bo Hui CHEN Rui WANG |
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| Affiliation: | 1. School of Mathematics, Sichuan Normal University, Chengdu 610068, P. R. China;2. School of Mathematics and Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, P. R. China;3. Department of Mathematics, University of California, Irvine, CA, 92697-3875, USA |
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| Abstract: | We give a geometric definition of sub-orbifold groupoid, and a criterion for determining a sub-orbifold groupoid. Then we prove the existence of orbifold tubular neighborhoods of compact sub-orbifold groupoids, the existence of symplectic neighborhoods of compact symplectic sub-orbifold groupoids in symplectic orbifold groupoids, and, the existence of Lagrangian neighborhoods of compact Lagrangian sub-orbifold groupoids. |
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| Keywords: | sub-orbifold groupoid orbifold tubular neighborhood symplectic suborbifold groupoid symplectic neighborhood Lagrangian neighborhood |
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