REGULARITY OF SECTIONS OF CR VECTOR BUNDLES

Author(s)
Bernhard Lamel, Nordine Mir
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.

Organisation(s)
Department of Mathematics
External organisation(s)
Texas A&M University at Qatar
Journal
Proceedings of the American Mathematical Society, Series B
Volume
11
Pages
15-22
No. of pages
8
ISSN
2330-1511
DOI
https://doi.org/10.1090/bproc/149
Publication date
2024
Peer reviewed
Yes
Austrian Fields of Science 2012
101002 Analysis, 101009 Geometry
Keywords
ASJC Scopus subject areas
Analysis, Algebra and Number Theory, Geometry and Topology, Discrete Mathematics and Combinatorics
Portal url
https://ucrisportal.univie.ac.at/en/publications/7bb3e3ff-c51b-4977-ad3f-51ed664ff9b8