On the Topology of the Space of Contact Structures on Torus Bundles

On the Topology of the Space of Contact Structures on Torus Bundles
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环面丛上接触结构空间的拓扑

DOI:
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发表时间:
2003
期刊:
影响因子:
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通讯作者:
J. Gonzalo
J. Gonzalo
中科院分区:
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文献类型:
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作者:
H. Geiges;J. Gonzalo

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基于3 -环面上接触结构的分类和经典接触几何方法,证明了环面上束接触结构空间存在本质环。2000数学学科分类53D35(小学),57R17, 57Txx(中学)。
Based on the classification of contact structures on the 3‐torus and classical contact geometric methods, it is shown that there exist essential loops in the space of contact structures on torus bundles over the circle. 2000 Mathematics Subject Classification 53D35 (primary), 57R17, 57Txx (secondary).