REGULARITY OF SECTIONS OF CR VECTOR BUNDLES

Bernhard Lamel; Nordine Mir

doi:10.1090/bproc/149

REGULARITY OF SECTIONS OF CR VECTOR BUNDLES

Bernhard Lamel, Nordine Mir

Department of Mathematics

Publications: Contribution to journal › Article › Peer Reviewed

Abstract

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

Original language	English
Pages (from-to)	15-22
Number of pages	8
Journal	Proceedings of the American Mathematical Society, Series B
Volume	11
DOIs	https://doi.org/10.1090/bproc/149
Publication status	Published - 2024

Austrian Fields of Science 2012

101002 Analysis
101009 Geometry

Keywords

CR immersion
CR vector bundle

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10.1090/bproc/149

Cite this

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

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author = "Bernhard Lamel and Nordine Mir",

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AU - Mir, Nordine

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

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KW - CR vector bundle

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JO - Proceedings of the American Mathematical Society, Series B

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ER -

REGULARITY OF SECTIONS OF CR VECTOR BUNDLES

Abstract

Austrian Fields of Science 2012

Keywords

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