等参子流形上的一个正则分布Ⅱ

IF 0.6 4区数学 Q3 MATHEMATICS

Revista De La Union Matematica Argentina Pub Date : 2021-12-30 DOI:10.33044/revuma.1799

C. Sánchez

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引用次数: 0

摘要

．本论文继续了我们以前的工作[Rev. Un.]阿根廷Mat. 61(2020)，第61号。[1,113 - 130]，致力于证明欧几里德空间中每一个余维为h≥2的紧连通齐次等参子流形M上存在一个正则分布，该正则分布是步骤2的括号生成。在那项工作中，当限制根系统被约简时，这一事实被确立。本文完成了限制根系为(BC) q即非约简情况下的主要结果的证明。

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A canonical distribution on isoparametric submanifolds II

. The present paper continues our previous work [ Rev. Un. Mat. Argentina 61 (2020), no. 1, 113–130], which was devoted to showing that on every compact, connected homogeneous isoparametric submanifold M of codimension h ≥ 2 in a Euclidean space, there exists a canonical distribution which is bracket generating of step 2. In that work this fact was established for the case when the system of restricted roots is reduced. Here we complete the proof of the main result for the case in which the system of restricted roots is ( BC ) q , i.e., non-reduced.

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来源期刊

Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.