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Pseudoholomorphic discs near an elliptic point
Alexandre Sukhov, Alexander Tumanov
We prove the existence and study the geometry of Bishop discs near an elliptic point of a real n-dimensional submanifold of an almost complex n-dimensional manifold.
An existence theorem for stationary discs in almost complex manifolds
Andrea Spiro, Alexandre Sukhov
An existence theorem for stationary discs of strongly pseudoconvex domains in almost complex manifolds is proved. More precisely, it is shown that, for all points of a suitable nei…
Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces
N. Kruzhilin, A. Sukhov
Let E be a generic real submanifold of an almost complex manifold. The geometry of Bishop discs attached to E is studied in terms of the Levi form of E.
Fefferman's mapping theorem on almost complex manifolds
Bernard Coupet, Herve Gaussier, Alexandre Sukhov
We give a necessary and sufficient condition for the smooth extension of a diffeomorphism between smooth strictly pseudoconvex domains in four real dimensional almost complex manif…
Riemann maps in almost complex manifolds
B Coupet, H Gaussier, A Sukhov
We prove the existence of stationary discs in the ball for small almost complex deformations of the standard structure. We define a local analogue of the Riemann map and establish…
Wong-Rosay Theorem in almost complex manifolds
H. Gaussier, A. Sukhov
We study the compactness of sequences of diffeomorphisms in almost complex manifolds in terms of the direct images of the standard integrable structure.