On Bott-Morse Foliations and their Poisson structures in dimension three

IF 0.4 Q4 MATHEMATICS Journal of Singularities Pub Date : 2018-01-29 DOI:10.5427/jsing.2019.19b
M. Evangelista-Alvarado, P. Su'arez-Serrato, J. T. Orozco, R. Vera
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引用次数: 8

Abstract

We show that a Bott-Morse foliation in dimension 3 admits a linear, singular, Poisson structure of rank 2 with Bott-Morse singularities. We provide the Poisson bivectors for each type of singular component, and compute the symplectic forms of the characteristic distribution.
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论三维的bot - morse叶及其泊松结构
我们证明了一个3维的bot - morse叶理允许一个具有bot - morse奇点的2阶线性奇异泊松结构。我们给出了每一类奇异分量的泊松双向量,并计算了特征分布的辛形式。
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0.90
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发文量
28
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