非单模横向齐次叶

IF 0.8 4区数学 Q2 MATHEMATICS

Annales De L Institut Fourier Pub Date : 2020-05-16 DOI:10.5802/aif.3412

E. Mac'ias-Virg'os, P. L. Mart'in-M'endez

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引用次数: 0

摘要

通过计算其类基上同调，给出了紧流形上定义的横向齐次叶理的紧性的充分条件。作为一个应用，我们证明了如果叶形是非单模的，则在$S^1$上的环境流形、叶的闭包或伴生的主束纤维的总空间。

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Non-unimodular transversely homogeneous foliations

We give sufficient conditions for the tautness of a transversely homogenous foliation defined on a compact manifold, by computing its base-like cohomology. As an application, we prove that if the foliation is non-unimodular then either the ambient manifold, the closure of the leaves or the total space of an associated principal bundle fiber over $S^1$.

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来源期刊

Annales De L Institut Fourier 数学-数学

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

1 months

期刊介绍： The Annales de l’Institut Fourier aim at publishing original papers of a high level in all fields of mathematics, either in English or in French. The Editorial Board encourages submission of articles containing an original and important result, or presenting a new proof of a central result in a domain of mathematics. Also, the Annales de l’Institut Fourier being a general purpose journal, highly specialized articles can only be accepted if their exposition makes them accessible to a larger audience.