Regularity of sections of CR vector bundles

Proceedings of the American Mathematical Society, Series B Pub Date : 2024-03-05 DOI:10.1090/bproc/149

B. Lamel, N. Mir

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Abstract

In this note, we show that every generalized section σ \sigma of a CR vector bundle E E over a CR manifold M M has the property that near most points of its singular support, there exists a proper abstract CR subbundle F ⊂ E F \subset E which has the property that every real subbundle of E E which contains the image of σ \sigma also contains F F .

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CR 向量束截面的正则性

在本注释中，我们证明了在 CR 流形 M M 上 CR 向量束 E E 的每个广义截面 σ \sigma 都具有这样的性质：在其奇异支持的大部分点附近，存在一个适当的抽象 CR 子束带 F ⊂ E F \subset E，它具有这样的性质：E E 的每个包含 σ \sigma 的像的实子束带也包含 F F。

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Proceedings of the American Mathematical Society, Series B

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1.60

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0.00%

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