CR矢量场系统的换向子型和李维型

IF 2.1 1区数学 Q1 MATHEMATICS

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-24 DOI:10.1016/j.matpur.2025.103693

Xiaojun Huang , Wanke Yin

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引用次数: 0

摘要

设M为Cn中n≥2的光滑伪凸实超曲面，设B为M的CR切向量束的一子束，证明了B的换易子型与Levi型在任意一个小于8时是相同的。当Levi类型为8或更大时，我们证明它从上面以换易子类型的两倍减去8为界。我们的结果提供了D’angelo广义猜想的部分解。

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Commutator type and Levi type of a system of CR vector fields

Let M be a smooth pseudoconvex real hypersurface in

C^{n}

with

n \geq 2

and let B be a subbundle of the CR tangent vector bundle of M. We prove that the commutator type and the Levi type associated with B are the same when either of them is less than 8. When the Levi type is eight or larger, we show that it is bounded from above by twice of the commutator type minus 8. Our results provide a partial solution to a generalized conjecture of D'Angelo.

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来源期刊

Journal de Mathematiques Pures et Appliquees 数学-数学

CiteScore

4.30

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： Published from 1836 by the leading French mathematicians, the Journal des Mathématiques Pures et Appliquées is the second oldest international mathematical journal in the world. It was founded by Joseph Liouville and published continuously by leading French Mathematicians - among the latest: Jean Leray, Jacques-Louis Lions, Paul Malliavin and presently Pierre-Louis Lions.