CR embeddings of CR manifolds

Title
CR embeddings of CR manifolds
Publication Date
2023-02
Author(s)
Cowling, M G
Ganji, M
( author )
OrcID: https://orcid.org/0000-0001-6568-6558
Email: mganjia2@une.edu.au
UNE Id une-id:mganjia2
Ottazzi, A
Schmalz, G
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Springer
Place of publication
Germany
DOI
10.1007/s10231-022-01241-7
UNE publication id
une:1959.11/56308
Abstract

We improve results of Baouendi, Rothschild and Treves and of Hill and Nacinovich by finding a much weaker sufficient condition for a CR manifold of type (n, k) to admit a local CR embedding into a CR manifold of type (n+ℓ,k−ℓ) . While their results require the existence of a finite dimensional solvable transverse Lie algebra of vector fields, we require only a finite dimensional extension.
Link
link
Citation
Annali di Matematica Pura ed Applicata, 202(1), p. 287-291
ISSN
1618-1891
0373-3114
Start page
287
End page
291
Rights
Attribution 4.0 International

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