Regularity and uniqueness of certain systems of functions annihilated by a formally integrable system of vector fields (Q1263706)
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scientific article; zbMATH DE number 4127605
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity and uniqueness of certain systems of functions annihilated by a formally integrable system of vector fields |
scientific article; zbMATH DE number 4127605 |
Statements
Regularity and uniqueness of certain systems of functions annihilated by a formally integrable system of vector fields (English)
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1988
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Let M, \(M'\) be smooth CR manifolds with non-degenerate Levi form. If M and \(M'\) are real analytic and F: \(M\to M'\) is a CR diffeomorphism of class \(C^ 7\), then F is real analytic (Chern-Moser, Tanaka). The author studies this property in the degenerate case. He proposes his condition, Condition 1 in his paper, and under this assumption, he proves the above type theorem, namely real analytic hypo-ellipticity.
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degenerate Levi-form
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\(C^{\omega }\) hypo-elliptic
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0.86665416
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0.8632708
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0.86047596
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0.8603572
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0.85913205
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0.8570645
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0.85403633
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