\(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics (Q1851488)
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scientific article; zbMATH DE number 1851144
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics |
scientific article; zbMATH DE number 1851144 |
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\(\bar\partial\)-regularity for weakly pseudoconvex domains in compact Hermitian symmetric spaces with respect to invariant metrics (English)
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2 June 2003
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The following conjecture is proved: Main Theorem. Let \(q\geq 8\). Then there are no \(C^q\) Levi-flat real hypersurface \(M\) in \(\mathbb{P}_2\). (Here the Levi-flatness of \(M\) means that \(M\) is foliated by local complex-analytic curves.).
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Hermitian symmetric spaces
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Levi-flatness
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pseudoconvex domain
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0.88556916
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0.87355155
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0.8710687
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0.8691732
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0.8663461
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0.86472875
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