On an 𝑛-manifold in 𝐂ⁿ near an elliptic complex tangent
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Publication:4396475
DOI10.1090/S0894-0347-98-00265-3zbMath0904.32016MaRDI QIDQ4396475
Publication date: 14 June 1998
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
regularityuniqueness theoremlocal hull of holomorphyBishop invariantelliptic complex tangent pointlocal biholomorphic propertyreal \(n\)-manifoldunique disk-filling problem
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Cites Work
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- Linking and holomorphic hulls
- Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
- Analytic disks with boundaries in a maximal real submanifold of \({\mathbb C}^ 2\)
- Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
- Pseudo holomorphic curves in symplectic manifolds
- The local hull of holomorphy of a surface in the space of two complex variables
- Complex tangents of real surfaces in complex surfaces
- On the geometry of analytic discs attached to real manifolds
- On a problem of Moser
- Polynomial convexity, rational convexity, and currents
- Gromov's method and Bennequin's problem
- Differentiable manifolds in complex Euclidean space
- Analytic surfaces in C^2 and their local hull of holomorphy
- La métrique de Kobayashi et la représentation des domaines sur la boule
- On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
