Livsic theorem for low-dimensional diffeomorphism cocycles
Livsic theorem for low-dimensional diffeomorphism cocycles
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低维微分同胚余循环的 Livsic 定理
DOI：
10.4171/cmh/377
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
R. Potrie
中科院分区：
文献类型：
--
作者：
Alejandro Kocsard;R. Potrie
我们证明了在低维流形的微分同胚群中取值的余圈的Livsic型定理。在没有任何局部化假设的情况下，结果是成立的，并且规律性很低。我们还得到了一个(在任何维度上)的一般结果，它给出了成为上边界的充要条件。
We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in very low regularity. We also obtain a general result (in any dimension) which gives necessary and sufficient conditions to be a coboundary.