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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77835


    Title: The isotopy classification of contact structures on S3
    Authors: 陳柏洹;Chen, Bo-Huan
    Contributors: 數學系
    Keywords: 微分幾何;切觸幾何;Differential geometry;Contact geometry
    Date: 2018-07-24
    Issue Date: 2018-08-31 14:58:53 (UTC+8)
    Publisher: 國立中央大學
    Abstract: 由Lutz、Martinet及Eliashberg的工作,我們可得知:若以同痕方式進行分類,在三維球面
    上的切觸結構已經被分類完成。
    本文將會藉由half及full Lutz twist方法,來為每一個同痕類找出更為具體且可算的代表元
    素。;By the works of Lutz, Martinet and Eliashberg, we have known that the isotopy classes of
    contact structures on S^3 have been completely classified.
    In this thesis, we will find a representative for each class in a more explicit and computable
    form via the half and full Lutz twist.
    Appears in Collections:[數學研究所] 博碩士論文

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