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arXiv 1703.08040math-phmath.MP
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Morse-Smale流的谱分析I:各向异性空间的构造

Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces

Nguyen Viet Dang, Gabriel Riviere

摘要:

本文证明了作用于紧致流形上光滑形式的Morse-Smale流的离散相关谱的存在性。这是通过构造具有各向异性Sobolev正则性的电流空间来实现的,其中Lie导数具有离散谱。

英文摘要:

We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete spectrum.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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