全纯接触流形上的线和高维$（2,3,5）$分布的推广

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2023-01-30 DOI:10.1017/nmj.2023.3

Jun-Muk Hwang, Qifeng Li

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引用次数: 1

摘要

摘要自Cartan的著名著作以来，对具有小增长向量$（2，3，5）$的分布进行了广泛的研究。在全纯设置中，全纯$（2，3，5）$-分布与5维全纯接触流形上的非退化线之间存在自然对应关系。我们通过研究全纯接触流形上的非退化线和任何正整数m的小增长向量$（2m，3m，3m+2）$的相应分布类，将这种对应关系推广到更高维。

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LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF $(2,3,5)$ -DISTRIBUTIONS TO HIGHER DIMENSIONS

Abstract Since the celebrated work by Cartan, distributions with small growth vector $(2,3,5)$ have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic $(2,3,5)$ -distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5. We generalize this correspondence to higher dimensions by studying nondegenerate lines on holomorphic contact manifolds and the corresponding class of distributions of small growth vector $(2m, 3m, 3m+2)$ for any positive integer m.

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.